It's not Star Wars if it doesn't reference events or people from another one of the many Star Wars stories out there, and it's no different here. Star Wars Outlaws makes sure to reference certain moments and even utilize already-established characters in its narrative, whether it is to give us some notion as to where the story takes place or just for the fan service of it.

5 Things That Make No Sense In Star Wars Outlaws
Not every aspect of the galaxy far, far away makes sense.
Thus, we're here to talk about the references you'll hear and see on your way to becoming the richest outlaw in the galaxy, sneaking your way through the Imperials, and learning what events from the movies are brought up here.
Though we'll do our best to avoid talking about the narrative, there will be light spoilers here.
8 Death Star Explosion
Setting The Time
The battle of Yavin is the battle that happens at the end of A New Hope and destroys the first Death Star. This event is such a big deal that it's used as the year zero for Star Wars' main calendar. And it does a similar job here.
The first cutscene of the game says that it hasn't been long since the destruction of the Death Star, which is not only a fun reference but a good way to tell us where we are in the timeline, as this game happens three years after the battle of Yavin.
7 Jabba's Palace
With Multiple Cameos
One of the key moments of your adventures through Tatooine involves an uninvited visit to Jabba's home. Not only do we see Jabba, his monkey, and Bib Fortuna (who has an actual supporting role in the story), but we also see a quick cameo from Boba Fett, and we even get to see Han Solo being used as decoration.
This section of the story also culminates in a thrilling escape mission, where we need to run away from Jabba's rancor - which we can't really kill because he's tough and, well, that would break canon. This section also shows us that we're past the events from The Empire Strikes Back.
6 Lando Calrissian
He's Not That Good At Sabacc
When you reach the planet Akiva, you will find a familiar face in the form of Lando Calrissian. He's helping the rebels here - another sign this is after Empire - and you can help him out in the process.
Once that is all out of the way, he'll teach you a trick to cheat in Sabacc games, and you'll get to play against him as well - though these games are easy enough to make the cheating mechanics unnecessary.
5 Sarlacc
Don't Worry, It's Dead
You'll see many references in Tatooine, as it's a big place in the original trilogy. Another one of those references is a quick visit inside a dead Sarlacc, entering its body in search of an item.
Though not the same Sarlacc that will eat Boba Fett, as that is yet to happen, seeing one of these creatures being used as a map was a very elegant - and disgusting - choice.
4 Lars Homestead
AKA Luke's House
Again, in Tatooine, you can find Owen's moisture farm in the desert - or what's left of it, anyway. It even has two NPCs analyzing the place in search of anything worth taking, and they give Kay a quick explanation of what happened.
You can enter the place, though it's mostly filled with sand since it has been three years since the farm has been abandoned. Still, it is a nice reference, even though it's a tragic one.
3 Who Shot First?
Obviously Han, No Matter What Anyone Says
We're not done with Tatooine just yet. The whole town of Mos Eisley can be visited, which is already a neat reference in itself, but there's more. In it, you can find Chalmun's Cantina, the place where Luke and Kenobi first met Han and Chewie.
In the cantina, you can find a blaster mark on the wall, indicating that someone took a shot there - which would fit with the shot Greedo allegedly made against Han when they met at the cantina - though we know Han shot first.
For those who are not familiar with history, Han shoots Greedo in cold blood during the events of A New Hope. However, the original version of the movie was edited to make Greedo shoot first, and Han retaliates, turning this action into self-defense rather than murder. You can read a more thorough explanation here.
2 Battle Droids
Straight From The Clone Wars
The original trilogy isn't the only one that gets referenced. ND-5 is a clear example, as he's a former BX Commando Droid, which is a more advanced and lethal version of the main battle droid troops we see in the prequels.
However, there is also a moment in the game where we see a battle droid factory filled with inactive battle droids. We also have General Grievous getting mentioned in a few moments, as the droids were meant to report to him.
1 Darth Vader
As Usual
Vader is becoming the Stan Lee of the Star Wars universe with all his cameo appearances, and to prove this point, he's also here in Outlaws. He doesn't play any significant role - Kay wouldn't stand a chance, after all - but he appears in a quick scene here.
We'll avoid the details of his appearance, so we won't spoil more than we already are by telling you he's here, but his appearance is very dramatic. His voice here is performed by Scott Lawrence, who has played Vader in many video games.