L from Death Note: Will compete with Solas to the Death at who can eat more cake and look more like a hobo. Also there will be so much scheming, analyzing and overanalyzing of Solas' every move that I worry he'll forget to seal the Breach.
But if the two of them get around to it and unite their effort, Cory will be outsmarted and defeated in exactly 5 minutes. After which the two of them will get back to rivaling each other.
Kira from Death Note: I get the shivers thinking of a world state in which both Kira and Solas exist, and they will probably rival each other. Everyone's f*cked.
Saber from Fate Zero: Saber would actually be the perfect Inquisitor. A brave noble female warrior whose focus will be on helping the people and saving the world. She will be friends with Solas and they can bond over the feeling of having failed in the past. She will romance Josephine and be her brave knight in shining armor.
Revy from Black Lagoon: Just think A**quisitor, but with Revy it would be a lot of fun. Every battle will start by her yelling, "Kill 'em all, baby" and unleashing gunfire on everyone. (Yes, Revy will have guns, how can one imagine Revy without guns?) She would romance Cullen and be protective of him, because he'd seem too nice for his own good.
Yuno Gasai from Future Diary: She would romance Solas. Yes, but what would she do as Inquisitor, you ask? She would romance Solas. I totally imagine this post-Tresspasser scene between them:
Solas: Yuno, how did you find me?
Yuno: I imprisoned and tortured every elf in the Inquisition. A few of them confessed to be your agents, and I used the information to track you down. Now we can be together forever, my love!
Solas: But what about my guards? Also, Yuno, what are you doing?
Yuno: I am chaining you to the wall, vhenan, so that we never have to be apart. Also I murdered every one of your guards single-handedly with an axe. Have I told you yet just how beautiful you are?
Solas: Look, Yuno, I know we kissed in the Fade, but that was impulsive and ill-considered. We cannot be together. I must focus all my effort on restoring my people.
Yuno: Do not worry, my heart, I have the perfect plan. I will gather all the elves in Thedas, sacrifice them in a blood magic ritual, and bring us back in time to before you created the Veil. You can just sit here and think of how wonderful it will be when the mission is done and we're together forever. You and me. Together. For eternity.
Solas: *petrifies self*
Lucy from Elfenlied: Have you seen Elfenlied? If no, don't. If yes, unleash your imagination. Maker help them all.