Li Shenron
Legend
No thanks. Multiple attacks slow the game down far too much for my taste- far more than the one attack with tons of damage does. Every attack is a decision point; every bonus die of damage is not (although with maneuvers, you can trade some of the dice off, so there is that).
No, I absolutely think multiple attacks at high levels are a drag on the game. The warrior's surge- get an extra action now and then- is okay, but the "every round four attacks!" model sucks IMHO.
I think four attacks is indeed starting to be quite too many, but I think we all probably have in mind 3ed mechanics of iterative attacks with different (decreasing) bonuses. I believe it is the different bonuses that unnecessarily drag the game down. For most people, a cumulative -5 to each following attack is definitely not an unsurmountable (?) mathematical problem, but IMHO just the idea that you are re-calculating your total bonus at each attack is already unsettling...
But if all iterative attacks are identical, they don't really drag the game down. Most of the times, they boil down to the same scenario: the PC keeps attacking the same target until she runs out of attacks OR until the target dies, in which case the PC shifts to another target. Many times, it's not a huge difference from doing one single big attack, but personally I prefer the multiple attacks because of a couple of reasons: they smooth down the probability curve giving your high-level PC a feeling of reliability (because it's not all-or-nothing), and they work better in a battle against lots of minions (tho it's understandable that some DM don't like having this kind of battles at all, but I do). I really like the idea that a high-level combatant is fast and can deal with a lot of enemies in a short time... you see this all the times in movies, from James Bond to westerns to martial arts, and I think it's a pity if D&D doesn't support this at least a bit (although there are other ways beyond mere iterative attacks to do so).
But again, I really think the problem of dragging down the game happens only if the attacks are not identical. First of all, if the attack bonuses are different, this is already a small drag. But maybe the issue can still be there even in that case, if for instance you have limited-use attack abilities that the PC cannot apply to all iterative attacks (e.g. a daily-based Paladin's smite ability).
Also I want to point out that this is typically a high-level issue, where IMXP spellcasters typically take a MUCH LONGER time resolving their turn than a fighter with even 4 iterative attacks. In the current iteration of the game, I am much more concerned with the drag to the game brought by all the spells that allow you to also attack in the same turn.