Money can get you territory, weapons, upgrades, and threads. Pretty much anything you choose to do in Saints Row: The Third has been incentivized and will earn you either money or respect.
My favorites are the Insurance Fraud missions, holdovers from Saints Row 2 that ask you to run into traffic and cause as much bodily harm to yourself as possible before time runs out.
When you need a break from story missions you'll find loads of optional activities all over Steelport that boost your street cred and earn you cash. Saints Row the Third can be accused of being many things, but repetitive isn't one of them. “Before the credits roll you'll catsit a tiger, play a hilarious text adventure, get a sex change, hack up Mexican wrestlers with a chainsaw, visit a Tron-like computer world, and participate in many other ridiculous leisure activities.