In 1E, unless spells were involved, you just could not take down opponents over 1 or 2 hit dice in one shot. If you faced a roomful of hill giants, it was going to take anywhere from 4 to 8 hits (more likely around 8) to bring one down.
...
In 3E, you have martial types able to do anywhere from 10 to 20 damage even at first level (for those big barbarians with the greataxes) to literally a hundred points of damage in a round, with their bonuses stacked high enough to ensure almost every attack was a hit.
Here's the thing I see...
In 1e, you didn't have all that many choices you could make to optimize a character. You had stats, a race, a class, maybe spell choices, and that's about it. In 3e, you have more opportunities for optimization - but you only see the effect you're talking about if the players take them. In the groups I worked with, folks rarely took much care about optimization, and didn't work much on the rules-mastery required to get those massive damage numbers.
So, my 3e fights didn't vary all that much from 1e fights, in that regard.
In regard to tactics in 1E, if one played by the rules in the DMG, actively tried to decipher them and put them to use, or looked at some of their precursors in Chainmail, there was a tactical element to them.
The difference being that in 1e, those rules were easily (and IME, generally) ignored, while in 4e they are more strongly written into the individual powers of the characters, such that you actually have to do extra work if you want to ignore them but still remain fair.
I would not be surprised if the way most folks felt 1e "naturally" played was without many of the tactical elements.