In 2006 Rambam Mesivta entered into a partnership with longtime rival HAFTR High School, called the "Torah Institute".

[8] In the fall of 2022, just after the beginning of the school year, Rambam Mesivta moved to a newly built facility in Inwood.

[12] Rambam Mesivta has multiple athletic teams including hockey, basketball, flag football, soccer, tennis, and softball.

Rambam's strongest sport is currently hockey, as the Varsity team has made it to the playoffs several times during the past decade, most recently in the 2021–2022 season.

Rambam Mesivta has multiple academic teams that compete in local and national competitions, of both secular and Judaic nature.

Following the tragic 2014 terrorist attack at the Har Nof synagogue in Jerusalem, in which four Jewish worshipers were killed, a group of 10th graders from Rambam Mesivta responded immediately with a campaign to raise money for the victims' families.

[17] The protest led to a meeting between the dean of the high school, Rabbi Friedman, and the Polish consul-general, Urszula Gacek, attempting to find common ground.