I must admit I had a very different experience than you did (with the Elf F/MU and the ranger). It is true that multi-class characters were good but careful enforcement of the rules made spell casting a lot trickier to pull off. You needed that fireball memorized (and it was lengthy to do so). You needed to declare it before you rolled initiative or you faced losing the spell. With a dragon it could breathe which made that a tough gamble. If you were in a confined space that fireball could be deadly to the caster. Without bonus spells casters had a lot fewer spells to cast.
That is not to say that 1Eand 2E were more balanced than 3E (they were not) but I did find it possible to have a fairly enjoyable game with these editions with a variety of classes. My major (personal viewpoint) difference is that I seemed to enjoy warrior classes (like Fighter) a lot more in 1E and 2E than 3E which seemed to be very caster friendly in comparison.
Oh, I still had a ton of fun playing 1E and 2E, and we had a fantastic DM for that 2E campaign with my human ranger and the elf fighter-mage (and 8 other PCs!), so that certainly helped. Plus, since 1E was fairly simple, it was not a hard job for a DM to balance things out. However, as somebody stated above, most of the campaigns in those early days did not progress beyond reaching "name" level. Those "big" spells (level 6 & above) were almost never used in game, except for possibly the finale with the villain casting one of them at the PCs, or a special Resurrection cast by an NPC cleric.
And, while 3E/3.5E were more balanced, it required a ton of work on my end as DM to create encounters for my big group of players (all those high level spells that just took up space in my 1E PHB were used by both PCs and bad guys (Delayed Blast Fireball, Otto's Irresistable Dance, Maze, etc) Heck, it was a memorable moment in game when my evil wizard cast "Maze" on the party tank - a goliath barbarian - and the goliath barbarian needed a natural 20 on her INT check to escape the maze, and she rolled it!) So, while it was more balanced, it was more work for me as a DM.