Continuity Snarl: He once said his dad was apparently killed in the Vietnam War (said to a Vietnamese masseuse/bride Todd had bought via mail); he then later called his mom for weed on 420, and his dad is alive, but offscreen (though we can hear his voice). It could be possible that he lied though. See below for another similar snarl.
Deadpan Snarker: He usually derides his co-workers and almost everyone and everything around him with much ease.
Jerkass: Dave freely admits he is a major one, he just doesn't care much.
Moreover, you can just tell that Dave has no other friends apart from Jerry. Strangely enough, neither does Jerry, but it could be somewhat justified since their relationship is one of the few on the show that isn't at best Vitriolic Best Buds.
The Stoner: A stand out case when we later find out most of the cast are stoners.
Ambiguously Gay/Ambiguously Bi: His hero-worship of various gaming icons has been called out on reaching homoerotic creepiness levels, and his infatuation with Mary has crossed into Sweet on Polly Oliver. However, he has had hetero-sex several times.
Butt Monkey: Whether he or Todd has it worse depends on the episode.
Decoy Protagonist: At first, he seems like main character potential. He's somewhat more sane and well liked by the rest of the cast, compared to Dave. However, more A-plots and interactions revolve around Dave.
Has Two Mommies: They made two jokes about Jerry's mother's death in season 1. In season two, however, it was revealed his parents were divorced and his mother entered a relationship with another woman. This counts as a Continuity Snarl; why does he say that his mom's dead (and either when he was 11, or last week), then say that she's a lesbian?
The Bluebeard: A particularly psychotic example. Married eight times, with all his spouses meeting "mysterious" deaths like being thrown down a well. Some of them he's had stuffed.
Cloud Cuckoo Lander: Expect "?????" to pop up on the bottom of the screen whenever Larrity starts rambling. He also nearly sabotaged his own mission to rescue Benny all for the sake of "Always keep 'em guessin'."
Executive Meddling: In-Universe. His business decisions are usually only made by what interests or is most profitable to him. How does the company turn any kind of profit with Mr. Larrity's business-making decisions? By him having rare moments of epic success.
Gambit Roulette: Larrity creates a series of overly ridiculous plans that make no sense whatsoever, like in "E.T". Scary thing is, they always work.
Stay in the Kitchen: Mr. Larrity has a very chauvinistic attitude towards women, particularly Mary and Clare. Not to mention he refers to his many ex-wives as "Mrs. Larrity Number X"
However, he does refer to Mary and Black Steve as the only responsible adults in the building, and does show an appreciation for Clare's skill at manipulation. Then again, he refused to released Mitch's game when he learned Mitch was Mary, saying he would rather go broke than sell a game with a woman's name on it.
Bob from Accounting: discounting the "Black" part, he would be "Steve from Accounting". Then again, his name's not Steve.
Everyone Calls Him Barkeep: He's been called "Black Steve" his whole life. Whether or not there's any other Steve. And his name isn't even Steve.
Hidden Depths: Probably the biggest source of this (did you know he used to be a pro wrestler, and is fluent in Japanese and (conversational) Arabic?) Likely played for comedy against his stereotypical Angry Black Man personality.
Hyper Competent Sidekick: Apart from being exceptionally talented as an accountant, he can also program games on par with the rest of the cast (the first thing we know about him), is a(n under)world renowned fighter, and is almost as talented at killing people as Mr. Larrity. He also is usually able to sidestep most of the problems that befall the rest of the cast.
Keet: Well, he is a kid and he ingests sugar, cigarettes and other bad stuff all day.
Only Sane Man: Apart from the addictive personality to things normal people get addicted to, he's more well adjusted than most of the cast. Which is actually more jarring considering his Competence Zone.
Camp Gay: Clarence takes this Up to Eleven. He sings everything he says (he is the music designer), constantly glitters, floats instead of walking, and constantly talks about how much he loves sex with other men.
He can also phase through doors using "gay magic."
Flamboyant Gay: He also has more on-screen sexual contact than the rest of the cast combined. Most of that was in one episode.
Magical Queer: Was formerly the trope's picture, and can often resolve problems with his wisdom and "gay magic".
Wacky Fratboy Hijinx: "Aww, dude, bro! This one time at college, bro..." His obnoxious frat brothers showed up when he took charge of the company (he had accidentally shot his dad in the face) and the employees pretended to work on a game called "Bros" to get free stuff. As Clare was manipulating him for sex, he fired Mary and Black Steve, so Mr. Larrity went with them and took on the fratboys in contests, they won (one frat was killed) and they were forced out.
Companion Cube / Cargo Ship: his dolls, especially Tiffany, who has more control over him than he does. Also, that little orange computer/robot thingy that is stored in his front shirt pocket and occasionally makes comments, but doesn't play a large role. (It also appeared as a phone in both the first episode and in "Trouble in the Middle East".
Parental Incest: Whether it's played for laughs is up to viewer interpretation.
Small Name, Big Ego: While pretty much everyone else has shown more talent than him, he somehow has the biggest office (when including the dungeon) that doesn't belong to Clarence or Mr. Larrity, so maybe he has some competence.
Only Sane Man: Considering how generic he is, he comes off as more normal than the rest of the group. Then again, the same could usually be said about Clare.
Recurring Extra: Of all the employees of this supposedly quite large company, he makes by far the most appearances, and appears in most board room scenes. (Wendy the Hot Intern, as well as an unnamed blue-haired guy, a red-haired guy, and a guy with overalls and a mustache make appearances from time-to-time.)