If you're looking for manga similar to Hamster Club, you might like these titles.
Laura is a typical fifth-grade girl with a not-so-typical pet: Hamtaro! Quirky and curious, Hamtaro quickly makes friends with his fellow "neighbors" after the duo moves to a new town, and a lifetime of adventures begins. Whether it's attending sports festivals, visiting museums in the search for the world’s largest seed or playing matchmaker, the Ham-Ham Friends will stop at nothing to have a good time. When the humans stray, the hamsters come out to play!
The manga follows the daily life of a household that has two cats: Azuki and Daizu. Azuki and Daizu belong to an office worker in her 30s who loves cats. The owner lives with her father, mother, grandfather, and older brother, the latter of whom the cats call "Megane" (Glasses). Megane adopted a Shiba Inu dog named Mamenosuke after Mamenosuke's owner died. Mamenosuke grew up around cats so he actually thinks of himself as a cat.
What's Michael? Michael is a cat. A cat that is inexplicably attracted to the smell of raw fish, yet horribly repulsed by the smell of toothpaste. A cat that, in a dogfight with a fly, will strafe his master in her sleep. In short, Michael is a cat like any other cat.
Fukumaru is a big, unusual-looking cat who has spent a long time sitting in the pet store waiting for a home. He's almost a year old, and the shop's customers only seem to want tiny kittens. Then one day a miracle happens - an older man comes along and takes him home! Thus begins the heartwarming everyday life of a cat who only wants to be loved and a lonely man who is delighted to give him the love and happiness he deserves.