Watashi no Oshi wa Akuyaku Reijou.

both main characters enter the otome game and their characters are similar. they give me the same vibe. 

Both series portray the supposed villainess of the story as a lovable tsundere as opposed to the antagonist they were framed to be in their in-universe otome games. While both female leads from either anime share a love for their respective villainess, one simply tries to wingman and the other actually harbours romantic feelings. They're both quite cute! 

They're both isekai yuri shows based on light novels with politics, aristocracy, and royalty as main themes. Both involve the main couple bringing upon or participating in some kind of "revolution", however the series differ in tone. Both share similar character archetypes, including the main duo: an eccentric short-haired girl who's openly lesbian from the start, and a more reserved, dignified character, who slowly starts to fall for the MC.