I’ve got Command and Conquer 3: Tiberium Wars running on my Gentoo Linux installation with wine 0.9.34 by following the instructions here. I had to first install it on windows though, and copy the folder for the installer didn’t work, even with Crossover Office.
Except for (very glitchly) video and sometimes a crash everything seems to run. (Didn’t try multiplayer yet though). I had to put all quality settings to lowest, which makes me wonder whether that is my radeon X1400 being not so good as I expected or wine just being slow in emulating Direct3D.