- SuperTuxKart
I really like this game because it's basically just FOSS Mario Kart. It has a lot of gamemodes, an (admittedly simple) kart stat system, many tracks and a lot of mods.
- OpenTTD
In OpenTTD, you transport cargo and people to different places. You can transport them using trains, buses, aeroplanes (airplanes if your American), boats and trams if you add a NewGRF (a mod). It is very addictive and it is quite easy to get into (except the signals).
- Pingus
It's FOSS Lemmings with penguins.
- Extreme Tux Racer
You play as Tux (or someone else) and slide yourself through terrain while you collect fish. It is fun, however I've found that it can get a bit repetitive. You can design levels, however it's a bit hard to do.
- SuperTux
It's 2D Mario with a penguin. BEST GAME EVER.
Pretty sure for now it's just being developed for windows if you want prebuilt executables, but I'm sure with the source code it's possible to make it work with another OS like Linux, but that's beyond my pay grade.
No idea about running it from the Brux engine, but I can certainly try later because I would love to play it on my laptop.