Big "NO!": In The Tomorrow Boys, after learning he gets married to Cindy. In a bit of Leaning on the Fourth Wall, the scream cuts to a commercial. When the show comes back on, Sheen comments that he had been screaming for four minutes straight.
Catch Phrase: Originally "Gotta blast!" "Think, think, THINK!" and "Brain blast!". The show eased off on these as it went on, eventually getting rid of them entirely. (One exception is "And now, my latest invention, the (insert plot-related-device here!)", which stayed for most of the series' run.)
Crazy-Prepared: His watch, whose powers depend mainly on the plot. Can include lasers, freeze rays, magno-rays, GPS, tracking devices...you name it, there's probably a gadget for it tucked away in there.
Future Loser: In the 'bad future' of The Tomorrow Boys, Future!Jimmy is a slack-jawed loser, wanted by the evil dictator Libby, with a five-o'clock shadow and Cindy as a wife. Current!Jimmy is less than impressed.
"Hell Yes" Moment: Often. Especially when he's given up all hope...and then his friends forgive him for being arrogant/apologise for being stupid/come back to save him.
Insufferable Genius: At times, but often more pronounced when Cindy's around.
She Cleans Up Nicely: A rare male example. When Jimmy shows up in a tux for Jet Fusion's wedding to Beautiful Gorgeous in My Big Fat Spy Wedding, Cindy promptly gets little hearts in her eyes. (Literally!)
Cindy: "So Neutron's the best man? Yeah, more like the best NERD! I bet he'll look like a total..." (Jimmy shows up outside the church in a tux. Cue fade to pink background, eye-hearts and hair patting) "...HUNKMUFFIN."
Another example is during Love Potion #976-J, when Jimmy cleans up for his date with Cindy. Said almost word-for-word by Cindy.
Loose Lips: Sheen helps him a lot with this one. They're often the ones to reveal the secret plan to the enemy, generally via Suspiciously Specific Denial.
Cloudcuckoolander: In a minor but interesting play off of the idiot sidekick schtick. Sheen isn't exactly stupid (at least before Flanderization set in), he's just very, very scatterbrained.
Genius Ditz: Not ditz per se (she's certainly the intelligent one in her marriage with Hugh and more rational than he is) but she has her moments of ditziness. There are also numerous moments where she demonstrates it's definitely from her side of the gene pool that Jimmy gained his intellect.
Paper Tiger: He's the ultimate cool dude, the girls all dig him, and he's supposed to be tough. In the movie his part of the plan is to take care of the Big Bad while the others rescue their parents. One look at his competition, though, and he goes screaming like a little girl.