Although refering to fighting games as "beat em ups" usually starts the genre-naming debate, I think almost everyone can agree that using the same term for two very different genres is a bad idea.
It's not really a debate. It's apparently a European thing. In America, the first category in the OP are called fighting games, and the second category in the first post are called beat 'em ups. Europe uses different terms, for whatever reason, sort of like how they often call platformers "jump n runs".
It may be regional slang, but beat-them-up makes the most sense for Final Fight style games, since the active gameplay is fighting multiple enemies at once and the actual "fighting" gameplay is very shallow. While the ganeplay in street fighter-style games is all about the "fighting". Bmup-as-street fighter-style-genre supporters might try to argue that in street fighter-style games, technically you fight many enemies by the time the game is cleared, but each enemy is an entire stage. In which case you might as well say that all games with levels/stages are "clmalls", because you have to clear all the stages.
Topic: Complete list of beat 'em ups on the PC Engine / TurboGrafx-16 (Read 5189 times)