If you don’t want to play feudal, one of the best ways to deal with MAA is to play tower defense and go fast castle…
But all civs has something to counter them
China has better towers and barbican
Deli can wall without vills, and schoolars cans heal your units (not to mention free blacksmith upgrades)
France has a really fast early knight, so probably you will see spearmen rather than MAA
Rus, it’s almost unraidable early game and also has early knights
Abassids, have a lot of extra food to make units or age up early and camel archer is good against heavies