Freddie Freeman - 2019
Back to the modern era, old friend Freddie Freeman had a number of great seasons with the Braves including his 2020 MVP campaign. Freddie would have had a real shot to get to 120 RBI in 2020 if it had been a normal length season. However, it was not to be and the only season he got more than 120 RBI was the 121 runs he drove in during the 2019 season.
Andres Galarraga - 1998
It is hard not to think about how good Andres Galarraga may have been if he didn't get cancer during his tenure with the Braves. However, he was still really, really good and the 121 RBI he had in 1998 was just the tip of the iceberg that was his season. He hit 44 home runs and posted a .991 OPS while anchoring the Braves' offense. It is remarkable that he was able to come back and play another 5 seasons, but oh what might have been.
Dale Murphy - 1983
Dale Murphy only having one season on this list is another surprising tidbit, but Murph's only entry here is from the 121 runs he drove in during his second MVP season in 1983. Murphy drove in over 100 runs five times during his time with the Braves and has a borderline Hall of Fame resume which helps highlight and explain how hard it is to drive in 120+ runs in a season.
David Justice - 1993
Finally, we come to 1995 World Series hero David Justice who drove in 120 runs in 1993. Justice was awesome that season as he also had 40 home runs and an .871 OPS. He would finish in the top 3 of MVP voting that season finishing behind Bonds and Lenny Dykstra of all players and ahead of future Brave Fred McGriff and teammate Ron Gant.