Having any type of restriction on who can ultimately become a Jedi would be a disaster. However people become Jedi, starting out or being trained, it should be the same for every character.
Now, I could write a few pages on a few cardinal rules they'd have to follow to satisfy me, but I'll start with something simple: Realistic animations. In Force Unleashed, it infuriated me that the Sith with Light-Spears blocked with the middle of the hilt. Had they realistically charged and withdrew, parrying with the blade part of the weapon, it would have been awesome. I'm not saying Light-Spears should or shouldn't be in the game, I'm saying the animations for even normal blades should be fluid and practical, people should be pushed if Force pushed, and it doesn't become a worthless exchange of blows because games think they can disregard the fact that lightsabers kill in one hit.
Now, I could write a few pages on a few cardinal rules they'd have to follow to satisfy me, but I'll start with something simple: Realistic animations. In Force Unleashed, it infuriated me that the Sith with Light-Spears blocked with the middle of the hilt. Had they realistically charged and withdrew, parrying with the blade part of the weapon, it would have been awesome. I'm not saying Light-Spears should or shouldn't be in the game, I'm saying the animations for even normal blades should be fluid and practical, people should be pushed if Force pushed, and it doesn't become a worthless exchange of blows because games think they can disregard the fact that lightsabers kill in one hit.