Fullmetal Alchemist: Roy Mustang, who knows How to Survive a War Movie, loses his cool in a flashback to the Ishvalan War when his buddy Maes gets all excited about a letter from his girlfriend Gracia, because he knows that's an indicator that the person will die in war novels. Maes survives the war, though he does not learn from his mistakes.
The title character sees everything in terms of TV and anime tropes, even where they might not otherwise have been. She borders between being a wrong and being an accurate Genre Savvy. Since she is an all-powerful Reality Warper with unstoppable willpower, she actually makes herself become accurate.
Koizumi himself is a Genre Savvy character too, using it to his advantage to convince Haruhi of certain things. Sometimes it does work, sometimes it backfires at him.
Kyon also is a pretty Genre Savvy guy, usually expressing it with snarkyremarks.
Nearly everyone is at least at some level of this. It's to the point where Azazel and the Maous outline the motivations of the Hero Faction in video game terms.
Sairaorg is well aware of Issei's Determinator and Chivalrous Pervert behaviors and uses this to snap the Occult Research Club out of a Heroic B.S.O.D. after Issei dies. By pointing out that Issei wouldn't stay dead because he hasn't had sex with Rias yet.
Azazel manages to motivate Issei into fighting harder by pointing out that Vali's Half Dimension attack can halve the size of Rias's breasts.
Shiro of K. He talks this kind of sense into Kuroh to stop the latter from killing him over the video that seems to show Shiro murdering Tatara Totsuka. He and Reisi Munakata also both use some of this in their phone negotiations in episode 8.
Shiro: Pleading my innocence from inside of a jail cell would be a waste of time. I've seen enough cop shows to know how that works. Reisi: And I can't help but feel your two companions would come to bail you out... probably in a non-traditional way.
Kannagi: Akiba Meguru, being a "self-conscious Akiba-freak", is Genre Savvy to the extreme, even recognizing that Mikuriya Jin for what he is:
Amamiya Yuuhi displayed a large amount of dating sim genre savviness on multiple occasions. One occasion during which he specifically chose to walk in on Asahina changing, knowing this type of situation usually engenders "special events".
At another time, instead of opening the door onto a changing girl, he felt accomplished instead, by having a girl walk in on him naked as a "special event"
Sami also remarks, at a certain point when Yuuhi suddenly grabs her face in during a dream that, had this been a romantic comedy, he'd have grabbed her boobs instead of her head.
The "library girls", quite understandably, read a lot of books... which means they're quite willing to accept the idea that their teacher is secretly a wizard. In particular, Paru (Saotome Haruna, herself supposed to be an amateur manga artist!) is all too willing to participate in cliche storylines.
Paru: But mostly I want to help because IT SOUNDS LIKE A BLAST!
But then, one character is Genre Savvy enough to freak out when she realizes that she's in a Love Triangle, and those never end well... (especially not in Japanese literature!)
In a curious and almost tragic use of this trope, Ako expresses her lack of self-confidence and feeling of being "ordinary" by saying she's literally "just a supporting character". Negi, of course, tries to reassure her that she is important... but in the context of the manga as a whole, she's exactly right about her lack of importance. At least so far...
Because the show has No Fourth Wall, some of the characters are genre savvy. For example, in the English version, there is a point where Tetsuju falls off a hovering space ship and crashes to the floor of a rocky canyon. Sora then assures Seikichi, "Don't worry, he'll be fine. He's the comic relief!"
Shinza says the same thing about himself after he narrowly escapes being arrested and is nearly sliced in half inside his hiding place. "Good thing I'm the comic relief!"
Keima is an internet-famous genius when it comes to Dating Sims, so when Hell has a problem with evil spirits hiding inside schoolgirls—where making them fall in love is the only way to exorcise them — they call him. And despite Keima's dislike of real girls, it works.
Yu-Gi-Oh!: Yugi and his friends play two tabletop-roleplaying games in the manga series (where they are trapped in the game world as their characters), and in both, their first stop for information is almost always the tavern. During the second RPG, which was based on actual historical in-universe events, Yugi doesn't even realize it's an RPG they're in at first: being a gaming nerd, he actually goes there compulsively because adventurers tend to go to taverns to gather information in role-playing games.