Die or Fly: It's the only way to save Jewel and himself.
Fish out of Water: Somewhat, he hails from Rio but was kidnapped at a young age and brought to the U.S. So it is pretty awkward for him when he returns to his homeland after so long.
Good Father: His parenting skills are a bit unorthodox (for birds, anyway), but he's a very kind and loving father who always holds the needs of his family to his heart.
Hikikomori: Due to his timid nature and that it's freezing in Minnesota.
Instant Expert: Zig-zagged. In the second film, he fails to use his beak to break free of some vines the first time around, but manages to pull it off the second time (and even cuts some rope that had trapped Linda and Tulio inbetween).
Love at First Sight: Subverted. He is briefly attracted to Jewel when they first meet until she attacks him when he starts to make his move. Afterwards it pretty much turns into disliking. His romantic feelings for her do return after their dance, though.
Socially-Awkward Hero: Justified since he was raised by humans (particularly Linda) and what little time he is seen interacting with other birds have presumably mostly been negative.
Spiders Are Scary: In the original film, Blu is freaked out by the thought of a spider on his back. In the sequel, he gets scared by them twice.
Spoiled Sweet: Linda has raised him a bit too protectively (sunblock against beak burns??), but Blu is rather well-trained with other humans and friendly with other animals (provided they don't treat him badly).
Took a Level in Badass: At the climax of the film. Though he does show signs of this during the brawl with monkeys.
Dark and Troubled Past: Implied in the first movie, but the sequel reveals that as a chick, Jewel was separated from her flock by a fire started by loggers, and believed herself to be the only survivor.
Hates Everyone Equally: She hates humans, is rather intolerant of Blu (at first), is pretty much aloof toward the others (Nico, Pedro, Rafael), and does not like dogs (at least when they're drooling on her). She gets better though.
Jerk with a Heart of Gold: She can come as rather aggressive, rude, even a bit selfish, but she also has a sweet heart to her and does everything she can to help Blu when it counts. The heart of gold becomes more apparent as the movie progresses, with the jerk part mostly gone by the beginning of the sequel.
Tsundere: Type A in the first movie; tsuntsun most of the time but giving occasional hints of deredere towards Blu from time to time, eventually becoming fully deredere towards him after the dance. She evolves into a Type B in the sequel, where she is sweet most of the time, but will bring out her tougher side if she feels it's necessary.
The Mentor: He served as this when trying to teach Blu how to fly.
Nice Guy: A lover of romance and friendship. Always willing leading to hand for his friends. He even admitted that he would give up the chance to go to Carnival (the place he was called "The King"), because he rather be with his wife and kids.
Red Baron: "The King of Carnival" in his younger days.
Coincidental Accidental Disguise: His attempt to attack a blue macaw he thought was Blu ends up giving him a leaf mask and cape, leading Rafael, Nico and Pedro to think he's auditioning for their talent show.
Dangerously Genre Savvy: Has shades of this. Smart enough to realize that his captives might escape and decides to dump the marmosets after their first failure. Shows more during the final part of the film where he successfully captures all the heroes singlehandedly and is smart enough to realize how Blu and Jewel escaped the first time, using a real lock the second time to make sure it didn't happen again. Really his only mistakes were either his owners' fault or things he couldn't have seen coming. Might be justified by the fact he used to be a show bird himself.
Disproportionate Retribution: A pretty parakeet stole his thunder while he was in show business and he blames his current mistreatment of other birds solely on this.
Fate Worse Than Death: His motivation for vengeance in Rio 2, with his supposed death actually clipping his wings & leaving him flightless. He gets it again at the end of the film when he's dragged off by Gabi after she finds out she's not poisonous. Meaning she can touch him without worry much to his horror.
Faux Affably Evil: He's rather polite and calm in his speech... even when choking someone or dropping someone from several hundred feet to "convince" them to be his Mook.
Large Ham: Justified, as he used to be a superstar with his own television show and appeared in movies.
Laughably Evil: By the sequel he's not the major villain, but the major baddie used for laughs.
Made of Iron: Survives flying face first into a power transformer (which causes nearly all of Rio to lose electricity) with only some burnt feathers. At the end of the movie, he survives being hit by a plane propeller, but lost most of his feathers.
Jerk with a Heart of Gold: He sometimes goes a little too overboard with his pranks (tying up his babysitter to FIREWORKS), is extremely mischievous, and has rather bad manners, but he is a sweet kid deep down and does love his family.
Humans Are Bastards: Doubles as a Freudian Excuse. He believes all humans are like this as loggers burned down his initial home and separated him from Jewel. As such he does all he can to keep his tribe separated from humanity and won't allow any human items (like bottle caps and fanny packs) to enter his domain. He's ultimately proven wrong when Linda and Tulio save him from loggers after he's knocked out of the air. By the end of the movie he's seen wearing a fanny pack as well.
Jerk with a Heart of Gold: He's tough and short-tempered, especially toward Blu, but he does deeply love and care about his family and tribe.
Obnoxious In-Laws: As much as he loves his daughter and grandchildren, son-in-law Blu is abused in many ways.
Get a Hold of Yourself, Man!: Blu has to slap him when he starts freaking out at seeing human loggers. Likewise Mimi once the final battle gets going so he can join in the fight.
Heroic BSOD: For most of the film he's portrayed as Ace and the go-to guy for Eduardo However when human loggers near their home, he panics and is entirely useless.
Hidden Depths: He's apparently set up to have a secret that will throw off his status as a Foil to Blu. Turns out he's afraid of humans. From what little dialogue he tells Blu, it seems he was originally a pet as well. Just treated far worse.
New Old Flame: Judging from the trailers, he's this for Jewel. He's actually more of an old friend, but his status does make Blu more than a little intimidated.
Non-Mammalian Hair: While his "hair" is pretty obviously made up of a bunch of feathers, it's maintained in a way that would be nigh impossible for a real-life blue macaw, no matter how great its groomer is.
Rhymes on a Dime: "Today, in the pit of doom, at high noon. Oh, I'll make some room. Sweep you up like a broom!"
The Rival: To Eduardo (And in "air soccer", Roberto).
Unsportsmanlike Gloating: Really rubs Blu accidentally scoring the winning goal in the blue macaws' net in Eduardo's face.
Ascended Extra: Somewhat, she gets a name in the sequel but her role pretty much amounts to a small joke.
Badly Battered Babysitter: Luis sticks her with the job of watching Blu and Jewel's kids. The next we see of her they've tied her to a bottle rocket and are about to light it.
Butt Monkey: Getting interrogated by Nigel in the first movie and nearly strapped to a bottle rocket in the second.
Screw This, I'm Out of Here!: In the first movie, when the fight with the Marmosets starts, she quickly proclaims she doesn't know what's going on and ducks into a hiding spot as the birds and monkeys begin to rumble.
Voiced by: Leslie Mann
Action Girl: Not so much in the beginning, but in the end, she hijacks a Carnival float and drives it at a plane.
Ups it in the sequel She commanders a bulldozer and prevents a logger from nearly crushing Eduardo. Girl loves her birds!
Tempting Fate: After capturing Linda and Tulio, he mocks them saying "It's a shame really, you came all this way to protect the jungle. Let's see if it will return the favor, treehuggers." It does in the climax with Blu leading the charge.