You need to read this piece: The Best Neutral Paint Colours That Aren’t White.
Most of them are variations of gray, which is…good. You still get some colour in your room, but the overall effect is still neutral. (For example, this room in Benjamin Moore’s Revere Pewter).
The article gives a wide range of colours (yes, gray is a colour). You should be able to find something to take the white off your walls.