In general data races can break program invariants, violate memory safety and do other undefined behavior.

In C++, data races can cause jumps to invalid addresses and the compiler will assume data races away and delete checks that are redundant in the single-thread case. The equivalent problem happens in most languages where data races are possible (two Python threads writing at once can put a value into an impossible/illegal state)

An ordinary race condition is just an observable effect of the nondeterministic progress of threads, so it's possible to have a truly benign race condition, so long as the correctness of the whole program doesn't depend on the outcome of the race. I/O causes nondeterminism anyway, so it's not really practical to avoid all ordinary races.