An individual's Magical Realm is the domain of their sexual fetishes, especially in relation to roleplaying games. When a game starts developing or introducing elements of the player or GM's fetishes (either accidentally or, often in the case of a /d/M, deliberately), it could be said to be entering that individual's magical realm (or that the players/party are doing so).
The origin of the phrase is a Gunshow comic by KC Green called "Piss World", where the players of a tabletop RPG react violently to their GM continually trying to get them to play to his piss fetish, and specifically a panel where an NPC (or possibly a DMPC, depending on how you look at it), the "Whizzard", asks "Dare you enter my magical realm?"
When the phrase "Magical Realm" is used to describe a work (say, a setting or pre-made adventure), the implication is that the author either let their fetishes bleed into the work sufficiently to make it very obvious what gets them off, or, more rarely, apparently created the work entirely for the purposes of masturbation without explicitly saying as much. Bonus points if they insist otherwise despite overwhelming evidence to the contrary.
In contrast, it is possible for a player to try and force their magical realm onto a setting by acting upon their fetishes, or having particular reactions to something as mundane as, say, lizardfolk. A more basic version is simply hitting on every tavern wench from Mendev to Absalom in an attempt to get laid in a way that the player cannot in real life. This is disliked because it puts the gratification of their fetish before the fun of the rest of the group, making them one of the worst versions of That Guy out there.
Drawing the Line
One of the problems with defining "magical realm" is that, sometimes, legitimate aspects of the setting can sound really, really fucked up when discussed casually. Due to many cases of such, a lot of threads about magical realms on /tg/ are anons trying to find the precise line when something goes from "fantastical" to "perverse". As with debates regarding furries, beastfolk and monstergirls, the primary keys are context, context, context, and the sanity with which the concept is approached.
For example, in Empire of the Petal Throne, one of the potential PC races are the Mihalli: shapeshifting alien wizards whose "default" form is a humanoid lion with 4-6 breasts and who are reputed to be hermaphroditic. And, to be honest, "multi-tittied herm lioness wizard" sounds like something straight out of a stereotypical furry's magical realm... but here they are treated as just an ordinary, mundane aspect of life on Tekumel.
A quick comparison to the other races of the setting makes it clear that the hermaphrodite thing is just a case of contextually appropriate weirdness (assuming it's even true, given the Mihalli's reproductive practices aren't exactly documented). The Mihalli are almost certainly, given the evidence, intended to be aliens that actually feel alien, and are neither aliens whose only difference from a stock human is that they have funny ridges on their foreheads, nor aliens whose shtick is summarized by the phrase "they're like that because It Gets Me Off™".
- Forgotten Realms, the original "magical realm" of Ed Greenwood
- Monster Girl Encyclopedia, for an example of a setting that both qualifies, and isn't mindbogglingly awful, but still plenty skubby beyond that.
- FATAL, for an example of a game system that both qualifies, and is mindbogglingly awful.
- Book of Erotic Fantasy, for an example of a work that doesn't probably quite qualify as a "magical realm", for reasons of being too openly and explicitly about sex.
- Maid RPG, for an example of a work that probably qualifies as a "magical realm", but at least has the excuse that to the extent it is, it's being true to the genre it's attempting to adapt.
- Wraeththu RPG, for an example of a work that qualifies as a "magical realm" twice over, being one reader's Magical Realm RPG version of an already existing Magical Realm series of (non-RPG) works, and an excellent example of what happens when you go two Magical Realms deep (i.e., sheer horror).
- Magical Realm CYOA, a popular CYOA that can be overlapped with the /tg/ meaning of "Magical Realm", but also can just be taken in a non-sexualised direction.
- FAPP, a furry tabletop game about what happens when the magical realm enters you.
- CthulhuTech, for its copious uses of raep and romance railroading in its adventures (read: getting raped by furries), along with the uber hedonistic society of the NEG.
What a DMs goal is when introducing the Magical Realm.