There are loads of info out there on the internet about cannons and the AP ability of the projectiles they fired. I too am trying to dig up as much info on the various AP rounds and the abilities of those rounds to penetrate armor at certain distances.
I had no clue the US 75mm M3 cannon firing AP rounds could not penetrate the armor of a Tiger even at POINT BLANK range. The US 76mm M1A1 AP could do so only out to 400 meters and the front of the Tiger's turret at 700 meters. Interesting stuff you learn while doing a bit of reading.

On an interesting note, in AH the HE rounds that the M4A3/75mm fires is only surpassed by the Tiger and T34/85mm in damage. The Tiger HE does 234.3 "lbs" of damage and the Soviet T34/85mm does 231.8 "lbs" worth of damage. The US 75mm M3 HE does 173.8 damage. Oh, and the US 76mm M1A1 cannon has the worst HE performance of all the tanks at 103 lbs per HE shell (both destructive power and splash damage are weak in comparison). Remember it takes 312 lbs of damage to bring down an OBJ.
So, if one were to take into consideration the amount of damage those above mentioned HE rounds do, the reload times of each cannon, and the amount of ammo available... which tank can take down a town faster with HE alone (without being re-supplied)?
Below are tables for HE comparison that I put together:
Country Tank Caliber/Gun Reload Time HE Dmg (in lbs)
Britain Firefly 76mm Q.F. 17lb 7.2 sec 146.3
Germany Pzr IV 75mm KwK40 L/48 5.4 sec 156
Germany Tiger I 88mm KwK36 L/46 6.3 sec 234.3
Soviets T34/76 76mm F-34 8.2 sec 156.2
Soviets T34/85 85mm ZiS-S-53 6.8 sec 231.8
US M4A3 75mm M3 3.6 sec 173.8
US M4A3-W 76mm M1A1 3.6 sec 103
US LVT-4 75mm M2 3.6 sec 154.5
I cross referenced the AH Trainer's Website. The data for the Firefly, T34/85, and all 3 US guns were tested by me in the offline mode.
The AP data is still a work of progress for me. I'll post when I can. But as a few already mentioned, there are a lot of variables with the effectiveness of AP. Armor slope, pitch of the target vehicle, etc, etc.