As mentioned during Bethesda E3, using a Link amiibo would enable players to use Link in Skyrim. In addition to that, Nintendo announced 11 new amiibo during their conference.
Along with the trailer for DLC for Zelda Breath of the Wild, Nintendo mentioned that four amiibo for the game's four champions were coming soon. Nintendo hasn't yet revealed a specific date or features for these amiibo yet.
Nintendo also revealed wedding amiibo that will come out on October 27th to coincide with the release of Super Mario Odyssey on the Switch. Nintendo mentioned that some of the amiibo would unlock new costumes for Mario, but didn't go into detail beyond that.
A Metroid and Samus amiibo have been announced. Both will be compatible with the upcoming 3DS game, Metroid: Samus Returns which releases on September 2017. Features for the amiibo have not been announced yet.
Lastly, Nintendo announced two amiibo for Fire Emblem Warriors, which releases in Fall of 2017 on New 3DS and Switch. No features have been announced for these amiibo either.