Take a look at this list of games that play like Puzzle and Dragons. Developed by GungHo Entertainment, PAD is a puzzle RPG available to all users on iOS and Android and has been localized for various languages as well; find the one that fits you! These recommendations are based on the match-three mechanic exclusively, with an emphasis also on detailed art design and ease of play. If you're an extreme fan of the match-three mechanic, RPG flare, and cool graphics (or any combination of the three), then these should be right up your alley.
Games Similar to Puzzle and Dragons
Candy Crush Saga can get extremely stressful, and have you spending a little more than you'd like if you're not careful. Therefore, take your time with this one and see if you can make it through all 100+ levels without needing a boost. Really though, if you haven't had any experience with this game, you should. King is one of the biggest developers out there, and their Saga games will keep you going for hours and hours and hours.
Glyph QuestGlyph Quest is the most similar of these games to PAD. As a young wizard, it's up to you to save your village from encroaching ruin. But how? Well, by matching elemental tiles and wielding awesome freaking spell power, of course! With an awesome array of single- and double-element spells and summons, you'll be on your way to delivering the hurt to huge monsters in no time. Be sure not to miss the spell-binding action in this bang-'em-up puzzle RPG.
Bejeweled is a total recommendation for those who are fans of the match-three mechanic. While this is perhaps the most obvious, it's important to keep players up to speed with the options they have in this franchise. For instance, if you're looking for more of a challenge in your glittery adventure, give Bejeweled Blitz a try! It's a lot harder than you think!