Optimal sort algorithm in number of swaps
There exists a stable in-place sorting algorithm with $O(n \log n)$ comparisons and $O(n)$ moves.

See:
Gianni Franceschini: Sorting Stably, in Place, with $O(n \log n)$ Comparisons and $O(n)$ Moves. Theory Comput. Syst. 40(4): 327-353 (2007)
http://www.springerlink.com/content/d7348168624070v7/