Noragami, Dororo Recommendations
Noragami has similarities to Dororo in that they both feature main characters who are samurai-like who are killing demons (or spirits in the case of Noragami). They both have a main protagonist who is accompanied with a younger side-kick like character. The main difference between the two is the time periods (Noragami takes place in the modern era) and that the main protagonists have different personalities. Still, there are enough similarities that you would likely like the other if you like one.
Both show's MC is an outcast, samurai-like character, who is looked down by the communitiy he originates from. Both of them seeks redemption while hunting demons, and a young female character gives moral support and guidance to both MC's. The fight scenes are pretty intense and well-animated in both shows.
In short, if you like Dororo for the aspects of Japanese culture then Noragami will most likely vibe well with you. (and vice versa)
Admittedly, Noragami is a bit more light-hearted but gets much darker as the show progresses. Dororo starts out rather dark.
Many of the scenes in later episodes of Noragami look like they came straight from Dororo. Not to mention that the art style is rather similar in my opinion.
Noragami constantly pops up in my mind when I am watching Dororo.
Spirits. Noragami and Dororo both follow protagonists who are associated with hunting down spirits for a personal matter.
Noragami follows Yato and his job in supporting others in exchange for five yen, in hopes of getting his name out. Dororo follows Hyakkimaru on his journey to take back his body from the demons that took it. In both anime, supernatural beings are being exterminated for someone's body. Hiyori and Hyakkimaru
Both are good shows directed to the shounen demographic featuring good use of action too.