The bugs I found: in the normal ending (the one where Chrono is supposed to be executed but instead is considered a hero and has the Moonlight Parade dedicated to him), after Chrono and Marle run off for the Epoch and Taban launches the fireworks, the game softlocks.
The fireworks show but the game never displays the credits, so the ending becomes stuck constantly throwing fireworks on a black screen.
The other bug is in the arcade room in Medina. When entering it, the game either crashes to a black screen with the music playing or changes the party members from Crono, Marle and Lucca to Marle, Lucca and Ayla. This last one may have something to do with the way I hacked the party members when I got stuck in the Blackbird.