Thgere was the one where a QB with a rating of 140+ has only lost a small handful of times, but Romo has three of them. He's the only QB with multiple losses under that scenario including the only one to lose in the playoffs under that same circumstance.
Only team in NFL history to follow two different 13-3 one seed seasons with a one and done playoffs.
Broke the team record for fewest rushing TDs a few years back. The record broken was of the strike shortened 9 game 1982 season.
Also records for fewest turnovers generated. not sure if it was just franchise or NFL record. I think it was tied for worst ever with the Saints maybe.
Current streak of 28 games without a defensive TD (longest in team history AFAIK), and also 36 games without a special teams TD (also longest in team history AFAIK).
There was the unique back to back 70+ yard runs given up to the Ravens.
The loss to the Texans first ever game should count here too it was such a huge fail.
Two games where we reached 99% win probability and lost, both in the same year to Green Bay and Detroit.
There's a ton more, but we would need Percy Howard to do some advanced research.