Are any ships in Star Wars capable of intergalactic travel (in the age depicted in the movies)?
To answer your question directly, yes, but it depends on what you mean by intergalactic, and any answer is constrained by my second and third points below.
Part A
Within the overall Galaxy there were seven satellites galaxies as part of the main galactic disk (the hyperspace disturbance mentioned below was outside of this whole construct) and there was travel to and from these satellite galaxies:
The Nagai accomplished it, coming from the Firefist galaxy.
In the era of the movies, the Rebel Alliance had a base in the Rishi Maze.
Part B
As a supplement to Petersaber's answer, there is also something of a constraint on travelling outside of the SW galaxy, and it is called the Hyperspace disturbance beyond the edge of the galaxy. This is an energy barrier that apparently makes travelling outside the galaxy impossible. The Outbound Flight Project, which did not succeed (thanks to Darth Sidious/the Chiss), was an attempt by the Jedi to penetrate this barrier (using the Force).
The Yuuzhan Vong, however, succeeded in finding a way around this barrier at Vector Prime and apparently the Silentium and Abominor, two extra-galactic droid races, must have as well since they came from the same galaxy as the Yuuzhan Vong and settled in the Unknown Regions of the SWG.
Part C
To expand on Petersaber's point about running out of fuel, unlike Yuuzhan Vong ships that used gravity for propulsion (gravity doesn't run out), ships in the SWG depended on hyperdrives (a technology they had reverse-engineered from the Rakata and which they did not fully understand) which employed hypermatter and some form of reactant fuel, usually, antimatter for propulsion.
I can't find any evidence of how they actually mined hypermatter (which is only found in hyperspace) or that they had some sort of antimatter scoop technology that they could use to refuel themselves along the way. When you consider this, alongside the vast amounts of fuel used (the Venator-class Star Destroyer's main reactor annihilated the equivalent of 40,000 tons of matter each second as quoted here), there were most likely real constraints within the SWG of effectively accomplishing true intergalactic travel.
I have no idea how Outbound Flight was supposed to accomplish its second mission - to seek out extragalactic life - unless they had a more conservative idea of what that meant, for instance finding Ship in the intergalactic void, or they just didn't know what they would find.
N.B. To whatever extent it impacts your question, I don't think it is entirely settled what Luke, Leia and C-3PO are looking at in that picture that you quote. It could be the Rishi Maze or it could be the SWG seen from the Rishi Maze. An interesting discussion on it can be found here and here.