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In contrast with the Star Trek Galaxy, the Star Wars Galaxy has had numerous official attempts to be mapped, primarily for the benefit of the West End Games roleplaying game that, until recently, was regarded as the backbone of the Star Wars Expanded Universe. However, as one might expect of an attempt to detail in such a manner an ever-evolving fictional setting of such scope, no two official maps truly match up - indeed, many official maps carry a warning that relative distances are not to scale on the map.
The map below is my own take on the scale and arrangement of the Star Wars Galaxy - and the Galactic Republic/Empire - during Episodes I - VI of Lucas's saga. It is based on the galactic map provided on pp.208-209 of the Revised Core Rulebook of Star Wars: The Roleplaying Game and the galactic map provided with the Expanded Universe novel "Vector Prime" (which is online at the Astrophysical Concerns page of the Star Wars Technical Commentaries, where those who prefer a "maximum" interpretation of the scale and scope of the Star Wars Galaxy should go to instead of this page), although the map below obviously differs in scale from most accepted opinions (official and fan) of the Star Wars Galaxy for reasons that will be discussed below:
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The above map (the main image of which is not to the same scale as my map of the Star Trek Galaxy - the dot in the map's lower right-hand corner represents the map drawn to the same scale as my Star Trek map) was derived from the following observations:
In SW2, Padmé Amidala states that Geonosis is "less than a parsec away" from Tatooine. With the underlying assumption that the standard parsec in the Galactic Republic is identical to that of Earth's, this establishes that the two systems are between 1 and 3.2618 light years apart - a distance that would be invisibly small on even a two-page galaxy map that spans over 100+ KLY. Yet Wizards of the Coast's 2-page galactic map of the Star Wars Galaxy has the two planets marked in two distinctly separate systems - which was not done likewise for the Hoth and Anoat systems (thus implying that the relative distance was not distorted for purposes of clarity). Similarly, Sullust and Endor are separated by, at most, half of the 17 parsec range of the T-4a Imperial Shuttle (so as to enable the Rebel strike team to retreat to the Rebel Fleet if they were unable to land on Endor). These constraints place an upper limit of 120 light years for the maximum breadth of Known Space in the Star Wars Galaxy and 100 light years for the Galactic Republic/Empire (the map above sets Known Space and the Galactic Republic/Empire at 118 LY and 93 LY across respectively).
In SW2, when Obi-Wan Kenobi was pointing out the location of Kamino - a world "beyond the Outer Rim" - the galaxy display focused on a region inside of the galaxy's nucleus instead of its spiral arms. Likewise, the Vector Prime map, strictly interpreted, confines the scope of the Galactic Republic/Empire to that of the nucleus, with practically no inhabited planets outside of it (indeed, the VP map indicates that nearly half of the nucleus is outside of the Galactic Republic/Empire). Assuming that the map focused on a region at the perimeter of the nucleus (and not deep within it, which would mean that Kamino is closer to the center of the Galaxy than the Deep Core is), the Star Wars Galaxy is likely a dwarf galaxy about 480 light years in diameter. Although this is far smaller than the 100-120 KLY usually ascribed to the Star Wars Galaxy in official material, it better fits the galaxies depicted in SW2, SW5, and the Vector Prime map (which, for a spiral galaxy, has a disproportionally large and bright nucleus - and has inhabited planets even in the deepest parts of the nucleus).
Note: As to why the Galactic Republic/Empire would describe itself as such if their scope was limited to that of the nucleus, given how disproportionally large (and relatively dense) its galaxy's nucleus is (and with all of its members in the nucleus), perhaps its popularly accepted concept of what constitutes the significant part of a galaxy is limited to the nucleus itself - just as how most people on Earth only think of a galaxy's luminous disc when they think of galaxies in general. This is reinforced by Padmé's statement in SW2 to the effect that Coruscant is "halfway across the galaxy" from Geonosis, when the distance is actually an eighth of the galaxy's luminous disc diameter - but roughly half of the diameter of the galaxy's nucleus. As for the inclusion of neighboring galaxies in the display seen in the Jedi Map Room in SW2, the display is probably the Galactic Republic's equivalent of an Earth World Map (which includes far more than just the country or continent of the reader's origin).
In SW4, Han Solo stated that the Millenium Falcon was capable of reaching "point five beyond lightspeed." Although a literal interpretation of the quote is consistent with then-contemporary American interstellar-scale science fiction, it also yields a speed (1.5c) that would require months of travel between even the closest stars in a globular cluster. As such, it is almost certain that Star Wars hyperdrives (and, if the Millennium Falcon's nominally sublight journey between Anoat and Bespin was any indication, the "sublight" drives as well) benefit from spaceways as much as the impulse/warp drives of Star Trek do - and indeed, due to their far lower base speed, depend far more on it. (The dependence of Star Wars hyperdrives on specific "trade routes" has become a central plot point of the "New Jedi Order" series of EU novels.) This would explain why, according to the Vector Prime map, Wild Space extends nearly to Coruscant despite the latter being nearly at the center of the galaxy and the Republic/Empire extending nearly to the rim of the galactic nucleus in the other three directions - there simply weren't any suitable spaceways yet found that would permit full-scale exploration and settlement in it. In addition, as was speculated in the "New Jedi Order" series of novels, there is probably a hyperspace storm at the edge of the galactic nucleus that keeps the Galactic Republic/Empire within the nucleus - and those in the galaxy's arms outside of the nucleus (much like the "Great Barrier" of "Star Trek V: The Final Frontier").
Note: It is almost a foregone conclusion that the Galactic Republic/Empire maintains interstellar spaceway maps of its territory that are every bit as detailed - if not far more so - than those of almost any interstellar power in the Milky Way Galaxy (as one might expect of a hyperdrive motivator-based civilization that, in the words of then-Chancellor Palpatine in SW2, "has stood for a thousand years").
In addition to the above points, the E.T. Senate delegation seen in SW1 (according to the SW1 DVD commentary, Spielberg even asked for a bigger shot of the E.T. Senate delegation when the original was too small to be easily seen) as well as E.T.'s indirect declaration that Yoda's species were present at his home (in E.T.) seems to establish that George Lucas's saga takes place in the region of the Pisces Dwarf (LGS 3) Galaxy - a modest (1,700 light year diameter) irregular galaxy 3 million light years away from Earth.
Note: Although both the Andromeda (M31) and M33 (which LGS 3 orbits) galaxies have been credited by some sources with the 3 million light year distance that E.T.'s homeworld is given, most sources give their distances as 2.2 and 2.5 million light years respectively. In addition, the Andromeda Galaxy has two nuclei, and both M31 and M33 have proportionally far too small a nucleus to be the Star Wars Galaxy or any of its observed neighbors.
Nonetheless, for the E.T. Galaxy to be the same as the Star Wars Galaxy, there must be a wormhole that crosses time as well as space from the E.T./Star Wars Galaxy to the Milky Way. Although he was familiar with Yoda's species, E.T. did not (and, as part of the intended innocence of the scene, would not) have the kind of negative reaction that one would expect with the Imperial-themed parts of Elliot's collection of Star Wars toys. (As a distinguished 10 million year young botanist, E.T. wouldn't have forgotten something as Evil as the Galactic Empire - indeed, it is E.T.'s viewpoint that his home was a place unspoiled by kinds of primitive violence seen on Earth. Besides, at the time E.T. was filmed, the fall of the Galactic Empire in SW6 wasn't known yet.) Indeed, a major plot point of E.T. was the unfamiliarity of E.T. (and his people, the Vomestrans) with human beings (indicating that, at the time of E.T., the Vomestrans hadn't yet encountered the Galactic Republic, and thus are almost certainly in the Outer Rim Territories). However, from a three-dimensional perspective, the Galactic Civil War had to have happened "a long time" before E.T.'s momentous visit to Earth in 1982. Thus, there had to have been a wormhole that connected the distant past of the E.T./Star Wars Galaxy with the "present" of the Milky Way and vice-versa - one that, if the E.T. novelization is any indication, has remained stable for millions of years.
Note: Perhaps the Milky Way Galaxy of Star Trek is the very same one as the one in E.T., with the events of SW4 overlapping (via the wormhole) the year 2277 AD, eight years after the end of Kirk's first five-year mission on the Starship Enterprise (just as in RL). John Knoll, the Episode 1 Visual Effects Supervisor, stated on page 21 in issue 48 of the "Star Wars Insider" that there are two Millennium Falcon-standard Corellian YT-1300s battling the Borg Queen's Cube in "Star Trek: First Contact" - and it has been reported that numerous Star Wars ships were found in Surplus Depot Zed-15 in "Unification" [TNG] (Click here for a newsgroup thread about these topics). Furthermore, a few of Starfleet's 2260-era starships feature a dagger-style secondary hull reminiscent of Imperial and pre-fall Republic warships (in RL, this was because the starships in question were prototype Enterprise-refits designed by the very same Ralph McQuarrie who was the concept designer for the Star Wars original trilogy) - and, most blatantly, there are the Ubese-style helmets and uniforms worn by members of the Breen armed forces and the Vulcan-style Jedi "Nerve Pinch".
Given the vast gulf in time and space that separates the two galaxies, it would not be surprising if there were few extragalactic citizens in either at any given time. Nonetheless, as a contingency against the wormhole collapsing, the Federation not only had extragalactic capability by the 2260s, but also the capability of deliberate time travel by 2270 via starship (with some unofficial sources claiming that the Federation even had purpose-built timeships since 2274) as well as the Guardian of Forever.