A team has finished a game with 5-3-3 runs-hits-errors line 5 times since 1897, most recently Texas Rangers on 28 July 2015. That is about one every 88,600 team-games.
Box score for the most recent one ↗
5-2-2 5-3-2 5-3-0 5-3-8 5-3-1 5-3-4 5-3-3 5-4-1 5-4-2 5-4-0 5-4-3 5-4-4 5-4-9
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes