GameCube and PS3 were my favourite.
Metroid Prime and REmake and RE4 on Gamecube are epic, Luigi's Mansion is a great tech display of the effects possible on the Cube, e.g. lighting. Paper Mario:The Thousand Year Door was a great adventure with a great battle system.
PS3 set a tone for today's gaming where choose your own adventure (see Heavy Rain, Beyond: Two Souls) made a comeback. It was the start of Uncharted and The Last of Us. It had great experimental games that made Microsoft have to become more creative. Whilst I admire Quantum Break and Sunset Overdrive on Xbox, they were made years ago now and Xbox should be utilising Rare to make more than Sea of Thieves. Rare should have been tasked to make Xbox's equivalent of Uncharted. How long until Indiana Jones and Perfect Dark actually release on Xbox?