My main started off flirting with Josie, but she seemed a little bland for my human female mage. So before locking in a romance with her I turned her down and went for Cullen. As a married straight man I have to say Cullen...mmmmmmm, haven't progressed far enough on my other plays for a romance yet but my new Lady Trevmage is going for Blackwall(I won't lie I want to see Lady Trev's bewbs and see what happens with the Blackwall reveal).
But these are my opinions on the romances.
Sera: Absolutely love her sense of humor, hate most everything else about her.
Dorian: I love this guy's personality, I hate his mustache, kinda sorta hate his haircut.
Solas: I could sit down and talk shop with this guy all night, but due to the fact that I cannot look past the female elf's large head small frame syndrome I cannot make an elf go far enough for this tragic romance.
Cassandra: My male Trevfacesmasher is currently working his way up her tree, Jawline aside I really like her, more than I thought I would prior to playing the game.
Cullen: Absolutely adore this romance, Well done Bioware well done.
Josie: She's really sweet, I wish I could get past her Hannibal Lecter farva bean mouth, but I can't. Her romance I had to youtube and it was kinda bland for me.
Blackwall: Working on it currently.
Iron Bull: Not going to happen, even though I'm straight and willing to partake in romancing Male characters I cannot and will not be the submissive one. I youtubed his romance and the moment he said "Oh I'm not the one taking it" I immediately crossed him off any potential list.
Varric: This guy needs to be a romance, we can have a four-way with Him, the Quizzy, Bianca and Bianca I don't care, this guy is awesome.
But as others have mentioned I would have loved to romance Leliana, or Hawke, but my most wanted right now is Scout Harding for my Male Dwarf(he's all alone).