Here is definitely a spot where you would fold AA (i hope everyone would)
imagine being at a 12 handed table and the first four players either go allin and flip up 77 66 55 and 44 (all black) or they fold them after showing (it doesn't matter either way). the next 6 players show KK QQ JJ TT 99 and 88 (all black) and move in. Finally red AA moves all in and flips her cards up. with you holding black AA you don't have the equity to call.
I think you could probably make a similar example with an 11 handed table and probably a ten too but i am too lazy to try.
http://twodimes.net/h/?z=1088764
pokenum -h ac as - ad ah - kc ks - qc qs - jc js - tc ts - 9c 9s - 8c 8s / 7c 7s 6c 5c 4c 6s 5s 4s
Holdem Hi: 98280 enumerated boards
cards win %win lose %lose tie %tie EV
As Ac 0 0.00 93442 95.08 4838 4.92 0.024
Ad Ah 12338 12.55 81104 82.52 4838 4.92 0.150
Ks Kc 23938 24.36 74220 75.52 122 0.12 0.244
Qs Qc 18214 18.53 79944 81.34 122 0.12 0.185
Js Jc 13818 14.06 84340 85.82 122 0.12 0.141
Ts Tc 10650 10.84 87508 89.04 122 0.12 0.109
9s 9c 8144 8.29 90014 91.59 122 0.12 0.083
8s 8c 6340 6.45 91818 93.42 122 0.12 0.065