>>18461654 (OP)A navy blue suit will definitely clash with a black shirt, for example, using black shoes and belt or suspenders is acceptable.
For the ensemble of your pic you can either combine with lighter shades of blues or contrast with different reds. I would avoid brown, purple, orange, white and black ties. Yellow and green are doable. But the ensemble is too solid, I would definitely go for some kind of pattern, stripes preferably.