The Revenge of Shinobi
The Revenge of Shinobi
In an interview with game's director and designer Noriyoshi Ohba, he was told about how popular the game's composer Yuzo Koshiro’s music was. He commented:

"Yeah, it’s really a collection of some of his most famous songs. The Chinatown stage theme, in particular, is amazing. I remember getting goosebumps when [...] I listened to a demo tape of the Chinatown theme for the first time. I was impressed by his work, and we worked well together, so I asked him to do the music for Streets of Rage the following year."

Ohba's sound effects would also be re-used in later titles such as the Streets of Rage games.
Contributed by ProtoSnake
Naoko, Joe Musashi's bride, was named after the sister in law of designer and director Noriyoshi Ohba.
Contributed by ProtoSnake
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Originally the developers of The Revenge of Shinobi intended Joe Musashi's master (the old man dying in the intro) to reveal himself to be the head of Neo Zeed and to be the game's true final boss. In addition to his martial arts skills, he would also have been able to summon earthquakes and falling rocks. The entire battle was sequenced and designed, but due to time constraints it never made it into the final game.
Contributed by DarkChojin
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The Japanese version of the game was renamed "The Super Shinobi". Putting a US copy of the game into a Japanese console will still show the title as The Super Shinobi. Likewise, playing a Japanese copy of the game on a American or European machine will still show the title as Revenge of Shinobi.
Contributed by ProtoSnake
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In the original release, Batman and Spiderman appear as bosses. Batman was later replaced by a different enemy, while SEGA added a copyright disclaimer for Marvel Comics, who allowed Spiderman to stay in the game.
Contributed by DidYouKnowGaming