 If you liked Dr. Stone |  ...then you might like Kusuriya no Hitorigoto |
Similar main characters who are knowledgable, amusing and have to adapt to sudden changes in their environments. If you enjoyed Dr. Stone for Senku's mannerisms and his application of science and reasoning then you'll also enjoy Kusuriya no Hitorigoto.
If you're looking for a cuter Dr. Stone, this is definitely it. The main draw of both of these series is the intelligent main character. The Apothecary Diaries has more of a detective focus like Sherlock Holmes. But the main character is an expert in medicine, which contributes many interesting scenes like those in Dr. Stone.