Help me fix a gap between tile and baseboard!
You have a 3/4" gap and a 1 1/2" gap, and clearly the larger gap is too wide to be covered by a baseboard alone.

What I might try to do is see if you can get a standard baseboard against the wall which will give you about 3/4", then I would put quarter round right after that against the baseboard.



The 1.5" gap will be hidden, but you might need to cut a 3/4" wide strip of wood so the quarter round has something to sit on.  It should be roughly the same height of the tile so the edge of the quarter round will be just covering the edge of the tile.  If there any more gaps at this point I would probably get some white paintable caulk and go around the base of the quarter round.

I like this approach because I think a little quarter round around the baseboards of your room can be quite aesthetically pleasing and make a simple boring looking baseboard look even nicer.