There are a zillion cichlid species that will follow your hand around the front of a tank for food. I have a dwarf cichlid tank in my office and every time I walk into the room every last one of my dwarfs comes right to the front of the tank to say hi (i.e. feed me).
If it's a pet type fish you want then many of the larger Central American species make great 'pets' who will respond to their owners (Jaguars, Jack Dempseys etc). This is less true of the South American species, although Oscars are a notable exception. In fact any of the species that supposedly went into creating the blood parrot (e.g. Severum, A. citrinellum, A. labiatum) would be a good approximation of a blood parrot (although severums are less psychotic).
If you want a fish just like a blood parrot then you may as well buy a blood parrot, just for God's sake don't buy a dyed one, or one selectively bred to have no tail. Pick carefully and you could well end up with a beautiful fish (if you like that sort of thing).
The only real problem with blood parrots is that no-one knows what they are a hybrid of. It's really important that hybrids are labeled correctly so that people know what they are buying. There's no real problem with people keeping hybrids, providing they know what they are and keep them responsibly. Problems only arise when unscrupulous hybrid owners try to sell them on as pure species or, even worse, as new species. This is gross misinformation and in my opinion such people need a good slap.