Quick Notes:
I've played since the beginnings of 2nd Edition, and (most of the gropu at the time had been playing since 1st)....
After playing 3.0 for 6 months, we decided to try an old school 2nd edition game. THAC0 kicked our butt for several hours before we could remember how to do it quickly (once our attack rolls started hitting negative AC's). In fact, if it wasn't for the THAC0 track on all our 2nd editon character sheets, I'd have thought BAB a godsend. It is simply more intuitive for many people (particularly those who've never played before).
I'll go on record as prefering BAB over THAC0, and that BAB is better than THAC0 for this reason: No AC limit. Playing in high level 3rd ed games, I can still feel challenged to hit creatures, something that never happened in high level 2nd ed games. If AC didn't max out at -10, I might feel different. Oh, yeah, AD&D was never meant for characters over 20th level, 3rd edition does a much better job at high levels (compare Epic Book to Player's Option: High level of FR high level option). Epic book (which ain't great) does a better job than any of those other 2.
In the end 3rd editon does a better job of holding together for more levels before falling apart as power levels increase.
As for all the dice "Complaining" If someone's using cheater's dice, I go to DM Dice, otherwise known as "Whatever I feel like rolling" "Oh, yes, that would be the third crit in a row." If he doesn't get the hint, kill his character, in the above posts, I'd feel fine saying the sky opens up above him and "a rock smashes his character."
As for cheating being made easier, what do you only have 1 d20 you roll? My group always had tons of dice. In 2nd ed we'd have attack dice and skill check dice (don't want to blow any karma good high rolling attack dice might have). In fact, I've had to "retire" my lucky red skill check die. It was the 3rd d20 I owned, and would usually (not always) roll low. In retrospect, I figure it is an inperfect die, propablly miscast a little bit.
Cheaters should NEVER prosper, not when the DM has random heart attack powers.