Most of the GS lottery games I have seen have been the variety of "match your numbers with the mystery numbers". The last TPiR ticket in Ohio was that way, some 5 years ago. The same goes for New York's Let's Make a Deal ticket from 2000. The current Ohio Wheel of Fortune ticket is that way, but you have to match letters.
7 or 8 years ago, there was a $5 TPiR ticket with pricing games--two games, a showcase showdown where your number had to beat your opposition's, and the showcases where your bid had to match the ARP. About 10 years ago, there was a $2 WoF ticket where you had a pool of 18-20 letters and you had to complete puzzles. Complete a puzzle and win the prize attached to it. Three years ago, around the time the syndicated Deal or No Deal premiered, Ohio had a $5 DoND ticket. There was a game board with 19 slots, 14 had cash values and 5 had "NO DEAL". After scratching 18 cases, you won whatever prize remained. Simply put, if you had 5 cases with NO DEAL, you had a winner. Like the current WoF promotion, randomly chosen lottery players from states with the DoND game were flown to LA to play some sort of unaired DoND game for cash.