You can try the game browser at MobyGames. A game that may help you decide which filters to use is Harpoon. Harpoon was black and white on the Macintosh and colour on other platforms, so it's probably not the game in question. Greenish vector graphics implies that it is a game from the 1980's.

(For reference: https://www.mobygames.com/game/harpoon )