One way to accumulate a lot of rewards quickly, is to apply for cards offering the same rewards from different banks. Recall, that it is easier to get approved for more than one card from different banks anyway. Here are some loyalty programs that you can do this with.
Hilton Honors– Both Citibank and American Express offer cards in which you can earn Hilton Honors points. Citi offers the Citibank Hilton Honors Visa Signature card (this card is now obsolete) and American Express offers the American Express Hilton Honors Card and American Express Hilton Honors Surpass Card. In fact, right now, all 3 cards have lucrative sign-up bonuses, so it is an easy time to accumulate Hilton Honors points.
Air Canada Aeroplan Miles– Both American Express and TD Bank offer cards in which you can earn Aeroplan miles. American Express offers the Aeroplan Platinum card, Gold card and regular card. TD Bank offers the TD Bank Aeroplan Visa Signature Card.