The top 10 rummy applications with the best bonuses are listed below:. Heading the Group. 1. RummyCircle: This well-known rummy app providrummy all appses a sizeable welcome bonus to new users in addition to ongoing promos and cash-coin tournaments. 2. Junglee Rummy: In addition to having an engaging gameplay & an easy-to-use interface, Junglee Rummy provides players with regular promotions & a lucrative welcome bonus. 3. .