I hate to say it, but when it comes to landing a first job, connections trump almost everything else. If you have friends in the industry, ask for referrals. If not, you can try to foster relationships with industry professionals and directly ask them about any openings in their companies. They'll know which ones are worth applying for, and a single word in your favor will greatly improve your chances of an interview.

If you still have access to your college resources, they often organize industry meet-and-greets for this very reason.

(This is also why mentors and internships are incredibly useful even beyond the skills they teach. The connections you form can give you a leg up for years afterwards.)