All you have to do in this game is make an alliterate sentence in alphabetical order. I will do an alliteration sentence with the letter A, then the next with B, then the one after that C, etc.
Aardvark admirals admiringly (and annoyingly) announce armistice.

Bats begin bumping baseballs by biting blocks badly.

Candy can contain cats cleverly crawling cinnamon.

Dinosaurs dangling defiantly over definite doom.

Eggs eagerly excitedly earn ears.

Ferocious Felines Fear Fat Farting Fine Feet.

Gee giving grateful grease gets giant galaxies gas.

Hungry Hungry Hippos Hail Hungrily Happily.

Insects inside igloos infect islands.

Japanese Joe jumps jello.

Kangaroos kick Kevin, 'kay?

Lamas lick lollipops lending loans.

Monkeys madly moonwalk mowing mail.