Itoshi no Muco

Chi's Sweet Home is about a cozy, harmonious family rescuing a cat and making her a part of the family. Itoshi no Muco is similar in that it's about a glass smith living ontop of a mountain with his Akita Inu, who is basically family. He has friends visit often to play with his fur baby too! Both Chi and Muco have a charming, cozy atmosphere with occasional cheery humor.  

Comedies about the relationships between dogs and humans. Both have dog dialoguing without humans understanding them. 

Kids shows about cute pets. Also, both are animated in CGI. 

Both have Dogs which can be annoying. One is an actual Talking Dog, one has inner monologues you can hear. 

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

Both follow the life of a pet and what silly antics they're up to. 

Both revolve around a pet and their 'family' as they get into silly mischief. Itoshi follows an average dog as it shows the funny interaction, where the dog can understand her owner but he obviously cannot understand her. It is a interesting style of showing what the dog is thinking but showing to her owner she is just a normal dog doing dog things. Dog owners may relate :P. Poyopoyo is a bit weirder, following a round cat and the episodes are usually very random. Both are fairly short episodes, Itoshi being 12 and Poyo being 3 minute episodes.  

Comedies about a pet trying to make sense of the human world while also doing pet things, i.e., mostly causing trouble. My Roommate Is A Cat has a more dramatic side to it while Lovely Muco is mostly just a comedy. 

Both involve the deep bond between a person and their dog companion. Flanders no Inu has a more tragic but heartfelt story whereas Itoshi no Muco is more idyllic.