Anders, Fenris, Merrill, Isabela are your four romance options. All four come with baggage, Anders comes with a special end of the game ~surprise~ which you will either love or hate depending on how you feel about certain game events

If you have the DLC you can also date Sebastian, who also has a ton of baggage (as this is Baggage: The Game), but he's kind of hard to snag. He's a church boy and you can really only get him if you're super churchy back to him and like, don't flirt with anyone else throughout the game or something like that