Long Live The Queen is a different kind of game. You're juggling story decisions along with stat-raising, and you will die a lot. Getting through to the end at all is, for most players, difficult. It's also a lot less wordy (no big monologues like Maddie does! this game was my excuse to get
verbose) and has fewer pictures.
Now, once you get the hang of the stat-balancing and can stay alive long enough to pay attention to the plot, there's a complicated plot going on with a lot of nobles scheming a lot of different things (and trying to kill you). But while the plot is there, much more is left to your imagination or deduction instead of being spun like a book to read. It does spawn a larger fanfic community as people invent their favorite theories for what characters are really like.
Date Warp is a full-on visual novel like The Royal Trap, but it's quite old and the art is not nearly as advanced. (Trivia - the Date Warp event artist is actually the same person who did the events for The Royal Trap! What a difference several years practice makes, huh?

)
I would suggest trying the demos for Long Live The Queen, Date Warp, and
Cinders (which isn't by me, but I sell as an affiliate). Cinders is very pretty and has a few thematic elements in common with TRT so might possibly line up with your tastes.