A blackjack or other card game system having a plurality of player counters which count the blackjack hands or other player jackpot tally events dealt to players. The system also includes at least one dealer counter which counts the number of bust hands of the dealer or other dealer jackpot tally events. Displays are included for both the dealer and players to indicate the counts. The counters are typically zeroed at the end of each hand if a natural hand or bust have not occurred. Jackpots are awarded when the tally counts exceed predefined thresholds. Other rules can credit dealer counts to players or provide other effects. A tabletop retrofit game system is shown for mounting upon blackjack tables.