Move your furniture so it covers the tiles on the sides of the room. This still provides a walkway through the space while giving you fewer tiles to hide.
Lay down throw rugs to cover larger sections of the space. The rugs come in a variety of colors and styles so choose ones that fit your taste and match your current decorating style.
Install laminate over the tiles in rooms where the tile is more noticeable. Laminate attaches without the need to remove the pre-existing mud-set tiles. Start at one side of the room and lay down panels. Each laminate panel slides into the one next to it and locks in place. This gives you a wood-like appearance for your floor that completely hides the tiles.