Also, do you think it's bad if I would add the world "games" or "entertainment" at the end. For example "Reflective entertainment" or "QuadNix Games"

No, it's not. It's actually a good idea. If there's another company using your name in another field, e.g. "Reflective LawFirm", that you don't know about, then it's probably best to add something descriptive to it to make it different.

More generic choices:
MyName Entertainment
MyName Interactive
MyName Games
MyName Labs
MyName Multimedia
MyName Productions
MyName Software
MyName Studios
MyName Group
MyName United
MyName Collective
etc...