Rings of the third age...

[Sillabub]

See, there's an entire theory behind these rings. Since they're a different set, an NEW one ring would have to be made to have the sauron stuff. So therefore the rings DO NOT CORRUPT. They were hidden from all accounts of history and eventually stolen or hidden. Some of the rings are:
Niena-the ring of healing-One of the rings of men-owned by Sharyn
More-the ring of night-One of the rings of men-owned by Rain
Avasa-the ring of shadows-one of the rings of men-owned by Mica
Coive-the ring of awakening
Taure-the ring of the forest-one of the rings of men-Owned by Elise
Raumo-the ring of storms
Amaurea-the ring of the dawn

So that's pretty much it for now. And, by the way, there's TONS of technicalities to what the rings can do, the power they posess, etc, but I won't go into that right now. I'll just say that the rings of the third age are less powerful than the originals.