In fact the vast majority of algorithms which involve doing computation on indexes beyond increment/decrement are naturally implemented with zero-based indexing. When using ones based indexing you end up having to convert to zero based, do the computation, then convert back to one based.
Another common example of this is circular buffers. Computing the bounded index from an arbitrary index is simply i % c with zero based indexing, but becomes (i-1) % c + 1 with one based indexing.