If you have a young credit history and a stable income, and you do not have any bad records with financial institutions, you could apply for Capital One Standard Platinum. No annual fee and manageable limit make the card use less expensive and less risky. If you attend college, an adequate offer will be Standard Platinum for Young Adults which has 0% intro APR, no annual fee and a number of standard benefits and discounts.
If you're looking to repair bad credit, Centennial Gold MasterCard®/Visa from First PREMIER® Bank will help. Though its rates, fees and limit are not that enticing, it is the best variant for those who cannot apply for other cards due to bad payment history. It does not mean however that you will be guaranteed approved. The bank's decision will depend on how bad your credit is and what risk you pose to them.
Compare the credit cards to see which one matches your credit rating and paying capacity and apply online.