2 out of 5 ceiling lights in basement won't work
If 3 out of 5 do work, and 2 out of 5 don't work, and it's all the same circuit (unclear if that's the case from your question) the problem is likely to be a failed connection between the working lights and the not working lights, rather than anything at the fuse box.
Since you have already tried replacing the fixtures, (which would presumably mean you have changed the connections at that end of the wire) the most likely location for the problem is at the last working fixture, where the wire runs on to the first not working fixture - speculating that they are wired in a linear manner, since that is also unclear from your question.