If you don't have a Chase Freedom credit card, there's a $100 bonus available at this promotional page. You'll receive $100 after your first purchase. I first posted on this bonus in October 2007.
Once you have a Chase credit card, you'll be able to take advantage of a $125 bonus for opening a Chase checking account. The $125 bonus that I reported on in this May post is still available, but you have to be logged into a Chase account (such as your credit card account) to see the promotion.
The $75 Chase Debit Card Promotion is about to come to an end. This promotion has worked well for me. As promised, Chase credited my checking account $25 each time I had $250 in debit card purchases. Hopefully, they'll do similar promotions in the future.
Thanks to the reader who mentioned this new perk in the comments.