TITENIC - unlicensed NES scrolling beat 'em up
TITENIC is an 2003 unlicensed NES scrolling beat-em-up by Taiwanese developer Hummer Team, set on the RMS Titanic
Jack and Rose have their own sets of stages; Jack's takes place before the ship crashes into the iceberg and Rose's stages take place afterwards
Information: https://bootleggames.fandom.com/wiki/Titenic
The game, including clones like Harry Potter, can be found on Archive, NES (no-intro)