For the most part I'm not really into remakes, as I'd much rather an actual brand new game.
That said, I would like to see the 2012 Fatal Frame 2 reimagining visually remade and brought to modern consoles in the same fashion at Fatal Frame 4 was last year, since its a fabulous game but got a fairly limited release on Wii back in the day and didn't even come out in North America.
I'd also like to see the original SNES Starfox remade, as its in many ways better than its more famous successor in my opinion, but its very early 3D graphics and low framerate make it hard for modern audiences who weren't there back when it came out to really appreciate.