Bedrockgames
I post in the voice of Christopher Walken
3.0 and 3.5 were both designed for minatures - and you can't get AoOs right without knowing exactly who stands where. The only difference here is that in my opinion removing the AoOs with their numerous triggers from 3.X probably makes for a better game. 4e doesn't. But this doesn't mean that 3e wasn't designed for minatures every bit as much as 4e was.
And AD&D and oD&D have their movements stated in inches due to the tabletop wargaming roots of D&D. You have blast radiuses for spells - again you have to have the map to use them properly.
Yes, 4e was designed for minatures. So was every other edition of D&D published, especially 3.X. It's simply that rather than just being designed for minatures 4e took advantage of the things minatures can bring to the game by way e.g. of forced movement rules.
Good for you. What sort of spells did your wizards prepare, and how much in the way of anti-magic fields were there?
For AD&D you really didn't need maps or grids. If you wanted absolute precision, then you m tht usethem. But so many people didn't use miniatures and simply used things like blast radiuses to gauge are of effect within a minds eye approach (with the GM having ultimate say). In my experience miniatures were not ubiquitous until sometime during 3E. Even then, I played with groups that didn't use them (though that makes attacks of opprtunity tough to handle as you point out).