Probably Star Wars, or Spy Hunter. It was so very long ago. There's a reason I really liked home games, and was thrilled when they surpassed the arcade while retaining the same quick style of play.
It was definitely before the age of "the clock is ticking but you can buy more time with money" (looking at you, Gauntlet)
It certainly wasn't the "I hate you, I will spam you with tons of enemies and you must insert more coins to continue! No, wait, please don't walk away ..." (The Simpsons, Teenage Mutant Ninja Turtles, just about any gun game)
and it absolutely wasn't Dragon's "insert coin, bonk bonk bonk, you're dead, hope you liked the cartoon graphics" Lair.
Free-to-play games that beg for money in exchange for Smurfberries almost seem like a good deal compared to some of the quarter-suckers from the past.