Animesque: The comic looks surprisingly much like one that actually came from Japan and even has a typical Manga-feeling to it, despite being a parody. Given that parodies and deconstructions of genres are actually everything but rare in the modern Japanese Manga industry, this comic might actually fare rather well if it was published in Japan...
Big "NO!": When Yuuki discovers he's now a woman full-time.
Bilingual Bonus: For one thing, those runes on Yuuki's belt? That's a contraceptive spell. Never mentioned or used in the comic. Word of God is this was unintentional but funny - the runes were supposed to signify things about Yuuki corresponding to their associated meanings.
Black Comedy Rape: Ah Freya. Ripping off Yuki's clothing and putting a finger up his/"her" skirt.
Black Vikings: Shebi who is the only dark skinned valkyrie
Breaking the Fourth Wall: Loki does this once- "Excuse me, but for the sake of the viewers, can we make this battle not last 50 billion pages like the wolves battle?"
Also happens during Yuuki's battle with Freya in this strip, leading to a bit of unwanted contact from Freya, and again much later to Otsana after Yuuki (who is possibly Not Himself at the time) makes the ribbons on his uniform ensnare her and start absorbing her "armor".
Given that Yuuki doesn't seem to remember the incident, it's pretty much confirmed that he was Not Himself.
Drop the Hammer: Yuuki's weapon. Thor is trying to teach him to use it properly. Otsana uses a club, which is sorta related.
E.T. Gave Us Wi-Fi: Okay, not exactly aliens, but Hermod did inspire people to develop better ways of communication, due to being tired from having to run around delivering messages all the time.
Fangirl, Fan Boy: Chiaki and Yuuki for magical girls, though Yuuki might be a male Fangirl.
Fanservice: Looooooooaaaaaads of it. Hell, it'd be easier to list what isn't Fanservice. A quick look through indicates a ratio of around three fanservicey pages to one non-fanservicey page.
lampshaded. This is possibly a reference/in-joke to the fact that Fenris was contained, not by chains (he broke them all), but by a magic ribbon. Therefore, mythology in-joke.
Foreshadowing: Yuuki's rather squick-y costume manipulation involving his ribbon.
Fun Size: The giant bull that Yuuki fights in the beginning. Is now a cute little critter, barely bigger than a house cat.
Fun T-Shirt: Guess which norse god is depicted at one point with a t-shirt saying "Lightning, Fuck yeah!"?
Generic Doomsday Villain: ironically averted with Surtur, who was this in the original mythology; this version of the character does have a reason (if a silly one) to hate the Aesir and try to kill them.
Genre Savvy: Most of the characters have this to some extent, though they manifest it differently.
Kid with the Leash: Subverted - it may look like this to a Gunnerkrigg Court reader because Loki can only manifest through a stuffed kitty that Yuuki owns, but Yuuki doesn't really have any control over him.
Killer Rabbit: A facet of the above - the doll may seem harmless, but it's still Loki...
Male Gaze: Lampshaded in a strip where Otsana is wearing only a large t-shirt while ordering around their "host", all the frames from his perspective go up to her shoulders.
Most Common Super Power: Virtually mandatory for a Magical Girl, much to Yuuki's embarassment. And since Kittyhawk draws a lot of fanservice one-offs, it's abundantly clear that Yuuki's breasts are just... plain... enormous. Monica enormous. Power Girl enormous.
Heck, as of Edda 12, Yuuki may have surpassed both of them.
Naked Apron: A variant — a leather blacksmith/engineering apron (instead of a frilly cooking apron). Used in the store to advertise the new DIY USB archives.
Parental Abandonment: Yuuki, in the classic anime/manga tradition of totally unsupervised adolescence.
Pixellation: The latest comics have been using this for Otsana. However this Trope is averted at the same time as there is an option available to get rid of it.
Pretty Freeloader: Parodied in filler comics starring Otsana and Shebi. Also provides the page image.
Public Domain Character: When the Norse gods and their animal friends show up, so does this trope.
Red Eyes, Take Warning: Yuuki does this in the chapter Game Changer in a way reminiscent of a Split Personality Takeover. Or indeed in a way reminiscent to Freya's eyes when she was trying to kill Yuuki directly.
Sacred First Kiss: "My first kiss was a guy in a stuffed animal body!!"
Sacred Hospitality for Pretty Freeloaders: Thor, Hermod, and Loki moving into Yuuki's house. And valkyries Otsana and Shebi who barge into some random Japanese guy's apartment. In both cases, the host refuses until the requests are backed up with sheer terror.
Shout Out: Keep an eye out for anime characters in the background. For examble, within three consequtive pages, we have Kamina on a poster, and Tomo andOsaka.
The Unintelligible: Myu-Myu-chan can only say "Myu", but the Norse gods are perfectly able to understand what he's saying. The humans in the cast, though, have absolutely no idea.
Unstoppable Rage: Freya, to the point that the gods decide to hide Yuuki for a few weeks and train him to a level Freya finds acceptable rather than face her head-on.
Weak, but Skilled: Yuuki continually impresses Thor and Hermod by quickly mastering abilities other Valkries never even knew they had, but since everyone else s/he fights is either a legendary hero, a mythological monster, part-god, or some combination thereof, s/he's always outclassed in terms of strength. (However, the fact that Yuuki is a gender-bent male does lead to some Unfortunate Implications regarding power vs. skill.) Lampshaded by Yuuki. "Why is everybody I meet stronger than me!?" indeed.
Weirdness Censor: Mundanes seeing valkyries fighting tend to look for the camera crew, expecting that someone is making a film.
Word Salad Title: Parodying the use of this trope in anime, of course.