Which sonic game has sonic saving a princess and silver and blaze trying to find sonic

I don't think there is a game like that, but the closest to your description would be Sonic The Hedgehog for the PlayStation 3. Well,the part about the princess is true but not the part about Blaze and Silver trying to find Sonic...Technically.only Silver wants to "find" (kill) Sonic so he can save the world he and Blaze live in. It was destroyed by a monster called Iblis who actually at the end gave Blaze her fire powers and brought her to the other dimension where she is the princess and she has sol emeralds and let`s not get specific. So it basically shows how her life ended up like that...I`m giving the game away aren`t I?