As a child I played through all of the Professor Layton games and as you can imagine my overall reaction to finding this series would be the same as any returning Layton fan. Personally i believe this series does more than justice to the charm and delight of the Layton games. The art remains the same, keeping the beautiful hand-drawn effect and the soundtrack keeps the same essence as the old but with touches of new aspects, enough to keep the ost from sounding boring and a staright rip from the games. The plot similar to the Layton games themselves doesnt focus on a in-depth story, in inmy opinion the development of the characters is something much more interesting than the plot itself.
For an anime based solely around the daughter of a detective Layton Mystery Tanteisha doesn't revolve around Murder or gore based cases, more like childish acts enlarged.
Overall Layton Mystery Tanteisha is highly underrated, and returning Layton fans or those looking for a more relaxing series should definetly give this series a shot.