The characters are the cats Tama, Momo, Gon, Beh, Koma, Tora, Nora and Kuro and the dogs Pochi and Bull. There is no consistent plot. Tama and his friends just have little, family friendly adventures every episode. The only consistency is when a new friend is made one episode and flashbacks.

Source: ANN

Note: The OVA episodes, as well as an additional three episodes, aired on TBS and MBS from July 3, 1993 to August 28, 1993.

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Side story: 3-Choume no Tama: Onegai! Momo-chan o Sagashite!!
Other: Tama & Friends: Uchi no Tama Shirimasenka?
Prequel: 3-Choume no Tama: Uchi no Tama Shirimasenka?