Oh... that would be too hard. I will just cheat a lot, if that's okay, and list some favorites of mine that I got reacquainted with while I was recovering from hurting myself recently:
First, these are potato PC games. I was basically limited to lying on the floor and due to the setup at the moment I had an old PC that I set up with a 1280x1024 monitor. Anyway, I had quite a few games available to play but ended up really only playing:
Stronghold Crusader: Along with its immediate predecessor, the original 2001 game Stronghold, I found myself playing this one quite a bit. The campaigns are fun and interesting but really the deathmatch is where the game shines. One of the best aspects of the game for me is the vulnerability of your units. Many of them can be felled with a single arrow hit or two. Spearmen, armed merely with a spear (an effective but cheap weapon) and simple armor (in all likelihood their clothes), are fast but highly vulnerable to archers and armored units, but in a mob can be effective. Likewise, swordsmen are not invulnerable at all but they are as effective as one might guess a dude clad in steel might be. The static warfare, defending and manning your castle, is an interesting gameplay hook that does not come through very well in games like Age of Empires or Empire Earth. Here this is the main hook, creating defenses and seeing your performance against the enemy's onslaughts is frustrating often but enjoyable when it goes right. I also really like the sim aspect, the self managing buildings and resource gatherers. Actually, the game made playing AoE the first time kind of funny because I played Stronghold first. My first thought was, "Why do people cost food, won't they need to eat it?"
That said...
Age of Empires II: (Both the Age of Kings and the Conquerors together) This is a classic for me and many others, as was Stronghold I suppose, but in the end if not for Age of Mythology this would be my favorite Age game. This one has some excellent campaigns as well single player scenarios. The random map is, predictably and unsurprisingly, the main attraction here, The civilizational variety here is decent, even if the visuals are samey across the units barring unique units. Definitely feels better when playing as one of the European powers to see the spearmen or swordsmen walking around... until the random eagle warrior runs through. Anyway, I almost always play as either the Britons or Spanish these days even though when I was younger I would play as Korea or Japan more. The version of the game I play these days is the Ubisoft print which includes AoE II and its ex-pack along with the first AoE and its ex-pack. This one might be one of my favorites for no real reason more than it's my first AoE game, that and the mechanics were fast enough, simple enough, yet there was sufficient complexity to prevent the game from getting mundane, and the feedback from the units was fairly immediate.