How about OpenRaider
http://sourceforge.net/projects/openraider/files/ an open source Tomb Raider 1 to 4 clone using the original game files.
Of course it's dead a long time (the source is from 2003) but as far as I've seen it seemed to work on linux.
The readme says it requires the following packages:
other packages may work just as well but haven't been tested:
+ Linux 2.4.16 SMP kernel (Debian distrobution)
+ GCC 2.95.2 compiler and supporting development packages
+ X11 4.1.0 with X11 development package
+ OpenGL 1.2 core and utils development packages
+ SDL 1.2.1 development package
+ OpenAL 0.0.6 development package
+ libz 1.1.3 development package
Personally I'd love to see that ported first because I can't get Tr to run in psx
and of course a ported version would be better quality and could fully use the screen.
So someone do it, since I'm not able to