Of course, these opinions are all subject to change. I'm open to being surprised.
Varric: I used to love him. For a while I took him everywhere in DA2 on the grounds that he couldn't tell the story accurately if he wasn't in the party. During my last couple playthroughs of DA2 I've switched my party up and benched Varric unless he was required. From this I've found that I don't miss him at all and am slightly disappointed he's taking a slot in DA:I. For my first few playthroughs of Inquisition, Varric will again be benched unless required.
Cassandra: No super strong opinions. One of my Inquisitors will be romancing her, though.
Vivienne: Love her personality and can't wait to meet her. Not sure she'll be a permanent fixture in my party, but I think I'll use her frequently. I'm more or less pro-mage, but the Circles could use some amendment. Wonder what Vivienne will think about that.
Solas: I'm sorry for being so shallow, but he looks terrible. Wish he had a ponytail or something. But if I'm dealing with elves, I'll take him and Sera for the commentary.
Sera: Hoping for a neutral rogue type. Since party members are apparently very important, I wonder what she offers. Probably going to be in my party a lot. Frequent humor would be great if not heavy handed.
Grey Warden: BAMF. Hope his storyline isn't centered on his swiftly approaching Calling.
Cullen: Trying to keep an open mind. Found him bland in previous games, regardless of what he experienced.
DHMG: My most looked forward to companion, though this view is colored by fan speculation. I really hope he's Dorian and that the dandy personality fans have made for him is accurate. If so, I expect him to be in my party at all times. Would romance in a second.
Iron Bull: "Eh," about sums it up, but I'm glad we have a Qunari in our party again.
Cole: Would only recruit for science. Otherwise, I'm telling him to go away or avoiding his recruitment altogether.