Concorde had its faults (and obviously the crash was a terrible incident and the nail in its coffin), but it was a staggering achievement to make a supersonic airliner that worked in a regular, scheduled manner. The engineering challenges that it faced were immense, and I've heard it said (can't find the source) that it was considered by many to be more of an achievement than landing on the moon because it made travelling across the Atlantic at Mach 2 'routine'.
Concorde made nearly 50,000 flights. The Tu-144 made 55. The TU-144 had a significant number of failures, including the two crashes (Paris Air show, delivery flight). I really think it's difficult to see the two as being anywhere near the same league.