Starting with B:
* Big Brother
* Black Box
* Blind Bargain
* Bouncing Ball
* Bright Blue
* Busy Bee
* Butterfly Bush
Starting with C:
* Clinking Cups
* Colorful Candy
* Cold Comfort
* Cool Cat
* Crazy Clown
* Crafty Cat
* Crispy Cracker
Starting with D:
* Deep Dive
* Dizzy Dance
* Double Dare
* Dusty Drawer
Starting with F:
* Fluffy Feather
* Flying Fish
* Funky Fashion
* Funny Face
* Fresh Fruit
Starting with G:
* Gentle Giant
* Golden Gate
* Good Grief
* Green Grass
* Great Gatsby
Starting with H:
* Happy Hour
* Heavy Heart
* High Hopes
* Hot Honey
* Huge House
Starting with L:
* Lazy Llama
* Little Lamb
* Luminous Light
* Long Life
Starting with P:
* Pink Panther
* Purple Patch
* Pretty Please
* Playing Piano
Starting with S:
* Shiny Shoes
* Silky Scarf
* Sleepy Sheep
* Small Shop
* Spicy Soup
* Sunny Summer
Starting with T:
* Tiny Turtle
* Tasty Treat
* Tall Tower
* Thick Thread
Starting with W:
* Wild West
* White Whale
* Wondrous World
These are just a few examples, and there are many more compound words that use alliteration. Have fun creating your own!