Rise of Rome - 4 human player, 4 AI, 130 turns
Middle-Ages - 8 humans, 0 AI, 204 turns quite long (turn and length) already though.
Discovery : 5 humans, 3 AI (or possibly 8 humans), 150 turns
Napoleonic : 7 humans, 1 AI, 96 turns
WWII Pacific : 5 humans, 0 AI, 50 turns (usually much less !).
are what I would advise. Meso-America has only 3 humans, FoR is AFAIC long, boring and apparently out of the question, Mesopotamia has 8 humans, is long (160 turns) and a bit monotonous and Sengoku is as long as any epic game. Now it might depend on how many you are and if everybody is interested in scenarios. Others might prefer to stick to the epic.