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You can see most (if not all) of those special animations in the gallery.
From the top of my head Char(OYW)/Gelgogg+Lalah/Elmeth 08th MS team/Gundam(g)s (not sure if Ez-8 can take part) JET STREAM ATTACK G-Gundam has a few with the Suffle alliance, God+Master, God+Rising. Orb Strike Gundam girls whatever they were called (SEED) Gundam Thrones (00)
Freedom(METEOR) [Kira Yamato CE 71] + Justice(METEOR) [Athrun Zala CE 71]
Strike Freedom(METEOR) [Kira Yamato CE 73] + Infinite Justice(METEOR) [Athrun Zala CE 73]
I'm not sure if the pilots have to be them, but they're the pilots of the machines in the anime. Use a combination attack with any of their attacks except for the BEAM sword and a special animation will show them shooting all their beams and rockets at once.