Layton Kyouju to Eien no Utahime

A lot of the same themes: crests, ancient mysteries, puzzles, enormous castles, and masked villains. 

Both anime feature a genius detective who must investigate a strange case, which might involve supernatural forces. 

In both you watch a 'genius' puzzle solver solve the puzzles for you. 

Setting: Ship Mood: Suspenseful Involves a game? In both cases, yes. Quite psychological. Stakes are only lower with Layton because of a demographical difference. It's a kids movie. 

Both are really good and faithful movie adaptions of their respective source material. They also both have stories that are completely original, and not directly taken from one of the games, so if you’re a longtime fan of either, you’ll still enjoy them. 

Both are based on similar games (in fact, there was even a crossover game for the 3DS). Both are best enjoyed with previous knowledge of the main series, but can act as the entry point for their franchises. The Layton movie is definitely better as a stand-alone anime product, but fans of the originals will really appreciate seeing these characters in full anime. Some of the similarities between series are as follows: -Main character being very good at solving mysteries. -Co-protagonist for both series being a younger kid/teen who admires the protagonist in some way, and who follows them literally everywhere. -Plots based on mysteries (I think it was obvious) with logic-based and mostly well-written solutions and plot points. -Based off of visual novel-like game series from the Nintendo DS and 3DS. read more 

Also a Professor Layton related property. Puzzels and characters are used in the same way. 

it's about music and some characters are a lil bit alike.  

The power of songs is important in both of the anime, and both anime also have people who want to abuse the powers and turn music into a weapon of mass destruction. Additionally, along the way, the main characters of both the anime go on a journey to follow their destiny and make important friends along the way. Therefore, if you like the plot and theme of one these, you'll surely like the other one too!  

Similar style and music. Main characters of both look similar as well because they both wear large top hats. 

Both anime feature a main protagonist who is seeking to a complicated puzzle. Also, both deal with kingdoms, castles, traps and shady villains. They are also very entertaining and have some wacky action.