A part of this originated in "Skyrim Jokes", which got closed due to abuse. I've decided to expand upon the theme. This is only Part 1...
A note on gender. For expediency, I usually use male pronouns, but most of these will work on both genders.

HOW TO MAKE VARIOUS PEOPLE ANGRY IN SKYRIM

How to enrage a Nord - Ask him to bathe.
Nord (II) - Give him a flagon of warm milk.
Imperial - Ask him if his race is as boring as it looks.
Redguard - Ask him if that's an all-over tan.
Redguard (II) - Give him a new turban. Tell him later on that it was your old draqes.
Bosmer - Offer him a salad.
Khajiit - Ask him "Would you like a saucer of milk, Pussums?"
Khajiit (II) - Wear a T-shirt that says "KHAJIIT - The Other White Meat!"
Altmer - Ask him if that yellow skin means he's banana-flavored.
Argonian - Show off your new lizard-skin boots.
Dunmer - Ask him if his eyes are red because he had too much mead last night.
Breton - Ask him if Bretons are short in... other ways, too.
Orc - Making orcs angry is probably a bad idea.
Orc (II) - No, making orcs angry is DEFINITELY a bad idea!
Orc (III) - Oh, fine, if you're really that stupid. Tell him that orcish armor looks like old corroded scrap metal.

Dwemer - Remind him that he's dead.
Falmer - Tell him you're making a potion and ask if he can spare an ear.
Troll - Shave a smiley mace in his fur.
Graybeard - Ask him if there's a Shout that will cause women's clothes to spontaneously fall off.
Skeleton - Ask him where skeletons keep their gold (they don't seem to have pockets.
Werewolf - Offer him some Kibbles n' Bits.
Werewolf (II) - Try to give him a flea bath.
Vampire - Ask him if he sparkles in the sunlight.
Hagraven - Tell her she looks like Grelod the Kind.
Ghost - Try to walk through him.
Ghost (II) - Tell him not to move because you're using him for a reading lamp.
Dragon - Tell him that he's actually a wyvern.
Dragon (II) - Since you're Dragonborn, demand that he pay you child support.

Companion (circle) - See "Werewolf"
Companion (non-Circle) - Cite them for not cleaning up after their "dogs".
Mage (male) - Tell him magic is for milk-drinkers.
Mage (female) - Tell her those robes make her look fat.
Thief - Replace his lockpicks with taffy treats.
Dark Brotherhood Member - Challenge him to say "Sithis svcks sweaty smelly socks" five times fast.
Forsworn - Tell him his sword looks like a comb.
City Guard - Play frisbee with his shield.
Thalmor Justicar - Tell him that you're composing a hymn, and you need a word that rhymes with "Talos".
Silver Hand - Challenge him to find a word that rhymes with "silver". Or "orange".
Blade - Tell him that Paarthunax is cooler than he is.
Empire Soldier - Tell him that the Empire is a decaying old relic that belongs on history's trash heap.
Stormcloak - Ask him how Talos would feel about them dismantling the empire that he built.
One of Empire's jarls - Ask him if he likes being an Imperial puppet.
One of Ulfric's jarls - Ask him if he enjoys being in the service of a Thalmor asset.
Honorhall Child - Wear a Grelod mask.
Child With Attitude - Pinch their cheek and say (in a voice suitable for talking to a two-year-old) how cute they are when they talk tough like that.
Priest of Mara - Try to get them to start each wedding like this: "Mawwage! Mawwage ith what bwingth uth togethah today..."

More coming... maybe I'll move on to individuals next.

some of these actually made me chuckle. Notbad.JPG

The Dragonborn Child Support won was fairly good, overall not bad...