... around the year 1722, here are some of the games you would have found available in the local taverns/card rooms/gambling halls at the time:

Piquet - an early 16th-century trick-taking card game for two players using a 32 card deck, omitting 2-6 in each suit.

Hazard - an Old English game played with two dice (mentioned in Chaucer's Canterbury Tales) and extremely popular in the 17th and 18th centuries, especially at Crockford's Club in London.

Faro (or Farobank) - a late 17th century French gambling game played between a banker and several players winning or losing according to the cards turned up matching those already exposed or not.

Cacho - a Spanish card game of straights and flushes; much like poker but with simpler rules of play... at that time a straight was considered more valuable than a flush in the ranking of hands.

Thanks to Wikipedia for these definitions... I'm reading an excellent novel of historical fiction by David Liss called "The Devil's Company" which mentions these games and others.