I am not familiar with those games but here are a few suggestions.
If these are Windows games, you can try to run them using a program called
Wine but in my experience, you should not expect them to run as well as in Windows.
According to the Wine database, TrackMania should run well in Wine (
Link).
In the case of Alien Arena, there seems to be a Linux version. Here are some instructions for installing it:
Link
