To name a few: AssaultCube, Battle for Wesnoth, Cube2: Sauerbraten, FligthGear, Freeciv, Freeciv21, Nexuiz Classic, OpenArena, OpenHV, OpenRA, OpenTTD, Remnants of the Precursors, SpeeDreams, Stone Kingdom, SuperTux, SuperTuxKart, Unciv, Urban Terror, Veloren, Warozone 2100, Widelands, Xonotic
P.S. It may be that not all of them are FOSS, but they run natively on linux.
Here is also a website where you can see if there is an open-source port to non-open-source games or an alternative that e.g. tries something of its own / builds on the game principle. As an example, Minecraft is listed as “clone” Minetest, MineClone2 (now called VoxeLibre), ManicDigger and more.