GBR's really need higher temps and lower pH than most community fish.. I wouldn't have the parrot fish with guppies and tetras? I don't think.. The Rams should be fine with guppies and tetras if the temp and pH match up. But I'd be inclined to think the parrots would end up bullying, harassing, damaging and eventually killing the smaller fish.
Rainbows would also cope with (depending on the species) higher temp and acidic pH. But again, they're not aggressive fish (aside from displaying their colors to one another) and I wouldn't put them with blood parrots.
I know you want to move the parrots over from another tank, but the list without those in a community tank kept at a higher temperature tank would be lovely.
Just my input, of course.