Bumbling Dad: Justified somewhat by his being allergic to many materials commonly used in home repair. He is, however, shown in "Fifteen Percent" to be competent with technology to a far greater extent than his wife or father-in-law.
Hidden Depths: In "See You Next Fall", Haley talks Alex out of her mean-spirited middle-school graduation speech by admitting that she is actually very anxious about whether she'll graduate from high school with her own class or not.
Determinator: In "Someone To Watch Over Lily", Alex reveals that she hates playing cello but continues to do so because she's never quit anything in her life.
Extracurricular Enthusiast: She plays the cello, plays lacrosse, and has participated in a bottle-collection program to help build schools in third-world countries. Note that she doesn't do all this because she loves all the activities, but rather to pad her resume for when she has to apply for colleges.
Shaking Her Hair Loose: In "After the Fire", Alex undoes her ponytail and shakes her hair loose in front of a group older nerds who have crushes on her before she stops them from bullying Luke and Manny.
Genius Ditz: Luke occasionally shows signs of this. He's also proven to be a magician prodigy in the making. Probably a mild case of Actor Allusion since Nolan Gould is a member of Mensa, skipped 6 grades, and graduated from high school at the age of 13.
Hidden Depths: At first he seems like your stereotypical good ol' boy - loves football and lots of macho. But over the seasons, it's revealed he's more of a pragmatic intellectual and shows interests in astronomy, history, model building, and foreign culture among other things. Though the latter one should be self-evident given who he's married to.
Also, while it may seem that he is with Gloria for her looks, it is very quickly revealed that while he's attracted to her physically, it is most definitely her personality that he is interested in.
His relationship with Cam is equally deep - he seems pretty comfortable confiding things he literally will not tell anyone else with Cam.
Creepy Uncle: Sort of. He had a crush on Haley, who is technically his niece. Of course, they're only related by marriage, close to the same age, and did not grow up together so how creepy Manny is will vary. It's also largely worn off as Manny's expressed interest in many other girls.
Daddy Issues: A recurring conflict between Jay and Mitchell is that Jay was never one to be openly affectionate during Mitchell's childhood, which made Mitchell's coming-out particularly uncomfortable.
Action Dad: Despite Cameron being overly dramatic and somewhat effeminate, when he thinks there's a stranger in Baby Lily's room he jumps out of bed, grabs a baseball bat, and charges in with a Pre Ass Kicking One Liner.
Jerk Ass: has become incredibly blunt and/or catty as she gets older. Though one episode suggests she gets at least some of it from Claire and likely, Jay who is particularly close to his granddaughter and vice versa.
A lot of it could also be that she is still very young and may not understand what things are rude to say to someone directly.
Only Sane Man: Even though she's much younger, Lily appears to realize how insane everyone else in her adopted extended family is.