Ahh, too bad you didn't apply for student cards when you guys were in school. Here are the choices that I know of:
1) Capital One for Newcomers
2) Go to your bank into the branch and not online. Talk to banker and see what they can do. Even the big banks, the branch people can help get your a card.
3) Go to local credit union and do the same thing
4) Secured cards are available from lots of sources
Here is deal. You need to actively manage your credit for the 1st year to get off to good start. If you have a bunch of savings, opening 1-2 secured cards is a great way to start as you can often get a much higher line of credit (via big deposit) than your credit would otherwise allow. Otherwise, you will probably get a 300-500 limit card.
Avoid the ones that are designed for people with horrible credit (first premier and their kind). Once you have the new card(s), use them for 3-6 months. PIF and before you apply for more credit, make sure to pay earlier enough that no balance is reported. By this time, you should have credit score that will be pretty good, you should then apply for 2-3 more cards around same day. Do you research. You want a card you will likely get.
Ideally, these cards should have no annual fee and good rewards. Depending on whether or not you had secured cards, you might want to cancel your secured cards and get your deposit back at this point as you have the new unsecured cards on your report. In another 6 months, with multiple cards reporting (ideally at least 3) and assuming positive use of your cards (PIF etc), you should now qualify for most cards, but make sure this time that 0 balance is reported on all cards but one which will report 1-9% utilization.
At this point, you should get some long term cards that have no AF (unless you love the card) and great rewards assuming you didn't get it in your last round. Look for cards where issuers are generous with auto CLIs or CLIs in general without hard pulls. Do your research. Then it is gardening time (ie just use your cards responsibly) for a 1 year or so. Get your CLIs and get your limits up.
Amex Centurion, Amex Platinum, Amex BCP 8k->24k (5/23/12), Amex TE 15k, Cap One 1.5% 15k->20k (8/7/13), CSP 25k, Chase Palladium 100k, Citibank AA 35k (AU), Firestone 1.8k->2.2k->2.4k (8/20/12), JFCU Jloc 30k, PenFed Plat Rewards 30k, SF Fire 30k, US Bank Cash+ 25k