Facebook Shenanigans is a Percy Jackson RPG, which follows various canon Percy Jackson characters and their adventures on Facebook. You can follow some of the goings-on here or in (theoretically) weekly round-up posts over here. Sign-ups for the game are currently open.
Ascended Extra: Some of the characters that had the smallest parts in the books are some of the most active participants, such as Kayla, daughter of Apollo, who got one passing mention in The Last Olympian.
Asexuality: Artemis, Hestia, Bianca, Athena. Thalia should be in theory, but in practice, not so much.
Bilingual Bonus: As some of the roleplayers know foreign languages (and the rest just use Google Translate), this crops up on occasion. Most prominent would be Haruhi's frequent Japanese, although Attic/Koine Greek and Classical Latin are also common.
Bilingual Dialogue: Has happened at least twice, and sometimes Jason's usage of Latin can turn into one of these.
Cannot Dream: Rachel asked Clovis to inhibit the emotions that came through in her nightmares. The result was this trope. However, Apollo, who was (understandably) concerned, invoked the potentially dangerous Real Life implications of the situation, and the mental blocks were removed.
Crowning Momentof Funny: Hera turning the second generation gods - and Hades - into into children/teenagers. Full stop.
Daddy's Girl: Bianca, totally. Calypso is a somewhat more tragic version of this.
Dead Pet Sketch: Paul and Sally eating Percy's pet lobster Ned certainly counts.
Deal with the Devil: Travis, Will, and Butch exchanging their souls for Kayla's, in a way, although Hades isn't technically the devil.
Did They or Didn't They?: One very memorable (and infuriating, to those not in the know) conversation between Miranda and girl!Jason. Lacy purposefully plays with this trope when talking about her relationship with the mysterious Kevin.
Easy Amnesia: Hades got tired of Kronos' crap, especially after he made Hestia cry, so he gave him a dip in the Lethe.
Embarrassing Nickname: Pervy Jackson, That Will Kid, Thalia Grace: Immortal Girl Scout, Katie the Impertinent Flower Child, Nicole Sugar Plum Rainbow Blossom di Angelo. Any comparisons between Travis and Justin Bieber probably count too.
Emo Teen: Roman!Apollo. No one understands him and his music!
Athena: "Non comprehendere quaestione possum."note Legitimate, real Latin, colloquial translation: "I do not understand the question."
Phobos: "What does a possum have to do with it? ...do you have a possum tonuge?"
Athena: "Δεν καταλαβαίνω την ερώτηση."note Modern Greek as translated by Google: "I do not understand the question."
Phobos: "Τώρα που καταλαβαίνω. Δεν κάνω μια ερώτηση, μόνο σχολίασε πως ποτέ δεν ήξερα για πολλά όργανα το στόμα σας. Και πως αν ήμουν χωρίς μια φίλη, θα ήθελα να ζητήσω να δω πώς λειτουργούν. Σεξουαλικά." note Modern Greek as translated by Google: "Now I understand. I wasn't asking a question, only commenting that I never knew you had so many tongues. And that if I didn't have a girlfriend, I would ask if I could see how they work. Sexually."
The conversation continues as Athena speaks in at least ten other foreign languages.
Relationship Character Player: Happens a lot, but the most blatant example is that Maria/Hades, Malcolm/Katie, and Malcolm/Austin are all couples played by the same two people.
Retcon: From time to time when a character changes hands retcons happen. Also, as it's an ongoing series, the release of new material can leave people scrambling to fit their character arcs into the most recent canon.
Romantic False Lead: Butch for Kayla before she married Travis; Haruhi for Nico and a whole mess of people for Rachel; Malcolm for Katie and Rachel for Will; Katie for Malcolm before he got together with Austin.
Running Gag: Percy's abs (or rather, lack thereof). Leo's inability to ever actually score any ladies.
Serial Romeo: True, it must be said / Apollo loves the ladies / and also the men
Walking the Earth: Has happened a few times, for various reasons: Nico travelled Europe for a while; Will was all over the place on his ~spirit quest~; Bianca travelled North America in search of Maria.