Here's an unofficial compilation of music from 90's TV series Moomin (Tanoshii Moomin Ikka, Muumilaakson tarinoita, I Muumindalen, Muminki etc..)

00:00 Tabibito Sunafukin (旅人・スナフキン)
00:54 Sanpo (さんぽ)
02:09 Haru No Kaze Ha Yasashikute (春の風はやさしくて)
05:45 Haru Ni Nareba (春になれば)
06:46 Yukai Na Pikunikku (ゆかいなピクニック)
07:57 Kimi Ga Subete Sa (君がすべてさ)
08:35 Yukai Na Nakama Tachi (ゆかいな仲間たち)
10:13 Genki Wo Dashite (元気を出して)
11:23 Tabibito Sunafukin (旅人・スナフキン)
14:47 Muumin Tani Aki Desu (ムーミン谷・秋です)
15:52 Muumin To Nakama Tachi (ムーミンと仲間たち)
18:15 Shin Ha Bouken (心は冒険)
19:18 Atarashii Bouken (新しい冒険)

Music is composed by Sumio Shiratori.
The singer is Emiko Shiratori.

I don't own the music. The music is released through King Records.
The goal is to make the composer's name more known of his brilliant work!