Some brands with which I'm familiar:

Bianchi - Bee-otch
Biria - Bi-arrhea
Canopus - Can-uh-bis
Ciöcc - Cee-otch
Dahon - Duh-hun
Jonas Øglænd (brand DBS) - Joan-ass' Oo'-gull-end
Eddy Merckx - Eee'-Dee' Murks-x-x'-x
Felt - Felt
Flying Pigeon - sqwaab
Gazelle - Tare'-ex
Gitane - Smo-kem
Graflex (originally the bicycle company Folmer & Schwing) - Schwing!
Haro - Ho
Harley-Davidson - Hawg
Huffy - Waal-maart
Kappa - Krap'-uh
LeMond - (see "Bianchi")
LOOK - (see "See")
Masciaghi - Miss'-ter Mee-aah'-ghee
Maserati - Mi'-kar
Medici - Mee'-dicki
Miyata - Maz'-duh
Moser Cicli - Mo'-sur Chic'-lit
Murray - Muh'-ree
Olmo - All-most
Orange - Arnch
Orient Bikes - A'-zee-en Bikes
Parlee - Moo-cho' Dee'-nare'-oh
Pinarello - Pee'-Knee
Pogliaghi - Pog-lee-ag'-ee
Porsche - Portch
Schwinn Bicycle Company - see "Huffy"
Shimano (see "Orient")
Shogun (see "Shimano")
VéloSoleX - Vel-o-sex'
VO3 Bicycles - Vee-oh-too
WeThePeople - Eee-plan-Eee'-stuh (see "Star Trek")