edit: Bonk's adventure got a NES release? Blasphemy. PC-Engine or bust. 
either this is a totally different game with a Bonk sprite put over top (i may be thinking of one of the Game Boy games) or a port of the original, this would be well after the Turbografx died off in the US in either case
Total Carnage is a Smash TV-alike.
Nobunaga's Ambition is a strategy game set in feudal Japan (I feel like Koei either ripped off Shingen the Ruler or they hired the designer).
World Heroes was a knockoff of Capcom/SNK Goofy Ethnic Stereotype fighting games.
Total Carnage is the
Smash TV sequel.
World Heroes is a SNK game, SNK made a lot of those knock-offs themselves. IIRC, WH is the first 1-on-1 fighter with danger zones, like you knock a dude into the wall and he gets electrocuted, etc.
KOEI did a number of strategy series best known for
Romance of the Three Kingdoms, which included a number of "re-skinned" ones, most weirdly
Liberty or Death set in the American Revolution.
Nobunaga's is either a version of that for Japan or a "late" port of the PC original which is like from 1984 or something. The crazy thing is that for all those KOEI games that came out here, they had like four versions in Japan, and it was seemingly random which ones they'd port. So it might even be one of those later sequels just retitled.
Total Carnage, probably because it had a completely different name than the successful
Smash TV, epically bombed. So the team taking inspiration from
Mortal Kombat's digitized graphics tried a simpler concept for their next game:
NBA Jam.
still impressed by seeing that accurate list in a rare cowardly Mandark game post