Massugu ni Ikou.

Very similar in that Both shows are best for someone who wants to just relax. Both are soothing shows about the relationship between pet and owner and each shows have the pet's monologue narrating their thoughts as the show progresses.  

Both anime series includes animals and human. The only difference is that in Shirokuma the humans can understand animals and in Massugu humans don't understand animals  

Comedy about owners and their dogs who love those owners. The dogs also have monologues people can't hear. 

Massugu ni Ikou and Chokotan! are both incredible cute stories with humans and dogs. Both stories are very short and have a romance theme. 

Both involve a cast made up of several talking dogs. MNI is shojo though, while Baekgu is a violent shonen-like action series. 

Both are about pets that have adventures when they're owners aren't looking. They are both very lighthearted and child-friendly! :D 

Both are about cute talking dogs, and everyday life from their point of view.