[Alneyan]

FQM is compatible with pretty much anything out there. TDM isn't compatible with most mods, however: the AI files only work for the vanilla components, so don't go adding anything else. PvK Balance is compatible with TDM, though you will have to create Empire files for the AI too; it makes more Empire choices viable, unlike the vanilla game where there's one standard and a couple variations, no matter what.

AIC is the other mod primarily focused for single player, though it alters the basic gameplay very much. Most other mods are best played in multiplayer, I think. Among these I'll add Proportions 3.0 to the list.