Tony Vargas
Legend
Every fighter, including 4e, has gotten multiple attacks at some point. But, contributing high DPR from multiple attacks was very much a 2e, and now, 5e, thing. The 3.5 fighter could get DPR going from multiple attacks, but charge builds did it better, and there were other, completely different ways you could go with the class, as well. 4e the fighter could get multiple attacks, even attack twice as an at-will, but not generally vs one target to stack up DPR. 1e (prior to weapon specialization in UA) and earlier, the fighter did get extra attacks, at first only vs less-than-1-HD monsters (not exactly DPR), but aside from that not a lot of them, and not for standout DPR.you just described EVERY FIGHTER EVER. Gaining damage from multiple attacks has been the raison d'être of every fighter in every edition, except 4e.
How 2e & 5e fighters get their multi-attack DPR rolling is a little different, mechanically, 5e fighters getting extra attacks more rapidly and goosing them with Action Surge (both automatic to all fighers), while 2e fighters needed to choose weapon specialization and use two weapons or get a good RoF from using a ranged weapon, but the result is a very similar DPR-focus and feel.