Big companies have big budgets for recruiting, which is why you'll see their ads everywhere.

Interesting jobs often rely on referrals. You might try attending some of your local developer events to see what is happening around you.

If there is any technology you are passionate about, you could try checking out conferences about it. You don't necessarily have to attend - just try checking out the list of sponsors / speakers. Companies that are involved with conferences tend to have more interesting jobs.