As an AI language model, I cannot provide real-time information or up-to-date lists. However, here are ten popular mobile gambling apps that were innovative when this response was last updated:
1. Betway: Known for its smooth user experience and extensive betting options.
2. DraftKings: Offers sports betting, daily fantasy sports, and online casino games.
3. PokerStars: Renowned for its online poker experience and large player base.
4. 888casino: Provides a wide range of casino games, including live dealers.
5. William Hill: Offers both sports betting and casino games with a user-friendly interface.
6. FanDuel: Similar to DraftKings, it provides sports betting and daily fantasy sports.
7. Unibet: Features a variety of betting options, including sports, casino, and poker.
8. Bet365: Known for its comprehensive sportsbook and live streaming of events.
9. Bovada: Offers a variety of betting options, particularly popular for its sportsbook.
10. LeoVegas: A mobile-first gambling app with a vast selection of casino games.
Please note that the popularity of these apps may change over time, and new innovative apps might emerge.