Both defined the 6th generation (2001–2006). "Better" depends entirely on what you valued:
Strengths:
Weaknesses: Large/Heavy, Loud (DVD drive + fans), Fewer JRPGs, Higher Launch Price ($299).
Strengths:
Weaknesses: Weaker hardware (Emotion Engine hard to optimize), No HDD standard (Network Adapter + HDD sold separately, low adoption), Online fragmented (per-game servers, no unified voice), Memory Cards (8MB) expensive.
Both are obsolete; modern Xbox Series / PS5 play enhanced versions of many classics via BC.