I want my first playthrough to be engaging but fairly straightforward. I'll save my more adventurous roleplaying scenarios for later playthroughs when I really know what I'm doing with the game.
Inquisitor: Trevelyan, male human noble archer (rogue)
Main party composition: Cassandra (warrior), Blackwall (warrior), Vivienne (mage)
LI: Cassandra
Beliefs: Pro-Circle, Pro-Templar, Andrastian (not devout), Anti-Qunari, Elf-phobic, favours the nobility
Personality: self-assured, naïve, likes order and is deferent to power
Unlikely to want to recruit: Cole (spirits/demons in human form are a no go), Solas (ditto for apostate elf mages), Iron Bull (Trevelyan would absolutely not accept Qunari spies into the Inquisition)
Most likely to get on with: Cassandra (she's of noble birth, has a high status in two organisations and doesn't much like mages), Blackwall (Trevelyan respects his status and sacrifices made as a Grey Warden), Cullen (Qunari-sceptic Templars are good in Trevelyan's book)
Least likely to get on with: Dorian (Trevelyan sees Tevinter mages as representing something very bad and does not believe they can change), Sera (she's an elf and no more than a common thief in Trevelyan's eyes)
Most likely to have a 'complicated' relationship with: Vivienne (she's still a mage, even if she is the most respectable kind in Trevelyan's eyes. Plus, we know Cassandra "sees eye to eye" with Vivienne, which might give the mage a free pass), Varric (he might not do anything to personally upset the Inquisitor, but Varric has an uncomfortable relationship with Cassandra . Given that Cassandra is Trevelyan's girlfriend, that could cause some problems with Varric)
My second playthrough will be a female Qunari Knight Enchanter (mage). Party composition will be: Solas, Iron Bull (LI) and Cole. Apparently, IB and Solas both get along with Cole really well, but Solas and Iron Bull have issues with one another. That could make for an interesting party dynamic.
All this is of course subject to change once I find out more about/play the game...