Your A-Team in Andromeda?

Here's my A team:
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Cora/Peebee for me. As an engineer I set up a lot of tech effects, those two are pretty great at detonating them!

Jaal and Vetra or Jaal and Liam, for me.

Cora/Jaal is my most used team.

I usually bring who I think will be the best fit story-wise for each mission so I don’t really have one. If I had to choose I guess I’d choose Cora/Vetra.

If I'm romancing a squaddie, they get slot 1. If not, then whoever fits the planet/quest line best. So, Jaal for Voeld and Havarl. Vetra for Kadara and Hc-whatever ex-planet, Drack for Elaaden. I like Drack the most, so he usually comes everywhere else with me too. I guess he's my A-team.

That's my "B" team. 

Yeah I tend to bring Cora along for the architects too. Her shield boosting abilities are invaluable when fighting them.

I find for missions that involve Initiative-specific goals (i.e. investigating Kennedy's whereabouts, the first murder in Andromeda, etc.) I always bring Cora and Liam.
They're the only two that "stayed" with the Initiative the whole time. Somewhat circumstantial, in that the Hyperion wasn't around for the uprising, but there you go.

Cora and Vetra I find to be a well-balanced team with their ammo powers for multi-purpose priming (I tend to have Incinerate as a tech-power, so we've got fire, ice, and lightning covered) Cora's Charge and Shield Boost and Vetra's Power Armor keep them alive, and Vetra's rifle keeps enemies primed with lightning.

Of course, this is reliant on Vetra having her Disruptor ammo, so I find Liam to be a good all-rounder. His Overload is eternally useful, and his Havoc Strike is very BIG and LOUD, so at the least it lets me know where he is (and what he's facing) and lets me decide on the fly to pitch in or "take the other side".

I can't have Drack, ever, because whenever he jumps and goes RAAAHHHHHH!!!!!!!! I shit my pants.