Chuck Cunningham Syndrome: Is completely absent in the sequel. Though judging by the emperor's words about him being potentially replaced implies that he was probably fired offscreen.
Dirty Coward: Does absolutely nothing to help Shang, Mulan and the troops when they are attacked at the Tung Shao Pass and when the emperor is kidnapped. The former he just hides behind a rock and the latter he just seems to disappear when the Huns burst out of the dragon costume implying he just ran and hid somewhere offscreen and only shows up after Shan Yu dies.
Effeminate Misogynistic Guy: Chi-Fu is a Non-Action Guy known for his Girly Scream, yet when told that Mulan is a hero he simply says "'tis a woman, she'll never be worth anything." Granted, there is some room for interpreting this as something he doesn't quite mean, and more so says out of contempt for Mulan as an individual, but still...
Jerkass: He's definitely the most unlikable out of the main characters. Yes even more then Shan Yu.
Would Hit a Girl: If him cruelly dragging Mulan out of the tent while she was still injured and recovering from her wound caused by Shan Yu's sword and throwing her down in the snow is any indication, it is obvious he has no problems with using violence on women.
The Berserker: While normally cold and collected, he really loses it when his plans are foiled. YMMV as to whether this counts as a Villainous Breakdown, since he does actually recover from it, and due to his fairly bestial appearance the before/after difference is less pronounced than in most villainous breakdowns.
Black Eyes of Crazy: His irises are yellow, but his pupils and the "whites" of his eyes are black. Unusual example in that this is actually his eye color, and consequently they stay this way all the time, even when he is totally calm, rather than turning this color when he loses it.
Blood Knight: His first two scenes suggest him to be this (see Establishing Character Moment below), and he later confirms it when he rejects a suggestion to avoid the Imperial army rather than meet them in combat. Shortly before the avalanche wipes out his army he personally leads the charge against the heroes, and is so far in front of his horde when he does so that it is very clear he wants to fight them himself.
The Dreaded: Though the Emperor is too dignified to have a true Oh Crap moment, his expression and actions when General Li says the Huns are being led by Shan Yu shows that he is aware that China could be in a lot of trouble.
Establishing Character Moment: In the very first scene of the film he leads an attack on the Great Wall of China, and does not stop a sentry who lights the signal fire. When the sentry defiantly says "Now all of China knows you're here", Shan Yu says "Perfect"
There's also a good one when Mulan reveals that she is the soldier who caused the avalanche.
Politically-Incorrect Villain: Averted/Inverted; he's one of the few male characters in the film who never outright says anything sexist towards Mulan. This is likely due to historically many nomadic societies such as Huns, Xiongnu and Mongols were a lot less sexist towards women, had more rights and freedom and were allowed to be soldiers.
Skyward Scream: When he realizes that most of his troops have been buried in an avalanche. Fortunately for him, it turns out that a few of them are still alive.
Unstoppable Rage: When he gets angry, little obstacles like a massive barred door, thick columns and a tiled roof don't slow him down all that much.