Captain Cosmic has some neat ones:
Destructive Response, Sustained Infuence, Potent Disruption and any construct card. Destroy the construct with PD, hit another three targets for one energy from DS, and set the construct back up with SI.
And if you don't mind losing a bit of health each of your turns, Unflagging Animation and Autonomous Blade is a neat combo. Hit yourself with UA, then have AB hit something. Don't try this with Wounding Buffer tho...
Ah, and if you find that your constructs are getting hit alot, remember you can always attatch a Healing Conduit to them. Conduits aren't just for heroes!
Combos with Argent Adept? Don't get me started...Okay, I'll give you three simple ones.
Musaragni's Harp+Inspiring Supertonic: My favorite AA combo. I always try to get this one out if I can, since it's a base for most of AA's combos. Let someone(or AA) use a power, then heal yourself. Only 2 cards needed, and infinitly useful. My bread and butter for when I play AA.
Telamon's Lyra+Alacritous Subdominant+Inventive Preparation: Plays, plays, and more plays. Well only two plays, but you get what I mean. Use AS's perform then IP's acompany
Xu's Bell+ANY Rythm card+Inspiring Supertonic: AA's most versitile instrument, Xu's Bell not only can play any part of a rythm card, but it can do a harmoniy's acompany as well. The most useful one I find is IS again because of the self-heal. But every card has it's place, so any harmony card can be useful in this one depending on the situation.
Now, since I'm so nice, I'm going to tell you a secret: Those three combos I just told you are all part of one big super combo. If the stars align and you somehow manage to get out all these cards, you can pull off one of AA's most productive turns. Here's the play-by-play(or power-by-power):
Harp>Perform IS>Lyra>Perform IS>Bell>Perform Rythm+Acompany Rythm/Harmony>Acompany Rythm>Acompany Harmony.
(You can swap the places of the Harp and Lyra if you want, just remember it swaps those last two acompanies as well) You can get off so many good things with this combo. And you what's great about it? You can swap out the third instrument as the situation sees fit for a different combo!
...Wait, isn't this thread about SIMPLE combos? Heh, sorry. I could write an entire guide on AA's combos...
Edit: Added the Healing Conduit/Construct combo. Also multiple spelling mistakes fixed.