I think Powerball and MegaMillions are the two people usually think of when they think "the lottery", at least in the states that I've lived in.
This is a sort of silly question, but does one only 'win' the lottery if they get the jackpot?
We've got a bunch in North Carolina - the 'cash5' game has you pick 5 numbers. If you match any 2, you get $1 - I think that's the ticket price. The winnings for matching 3, 4 or 5 are dependent on how many tickets are sold and how many other matches there are. http://www.nc-educationlottery.org/faq_cash5.aspx That approach may be more common for lotteries - I'm no expert :)