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"This page may contain spoilers for some episodes in the series"
List of Named pets in the anime.
In the Manga Pechi appear to be much smaller, maybe even a different breed.
Flatty-San (ひらたいらさん Hiratai-San?) is the name Range gave to a bunch of tadpole shrimps that the girls collected from a river. She keeps them in an aquarium in the school and is the sole caretaker for them. She also keeps an observation journal on them.
Hand to Mouth (その日暮らし Sonohigurashi?) is a cicada that Natsumi lures out of it's hole by poring water into it. Range calls it "Hand to Mouth"(it's a rather hard word to translate, essentially it means "a carefree existence/living life day-by-day")
Hikarimono Boss Edit
Hikarimono Boss (光りもの親方 Hikarimono oyakata?) is a huge common carp that Natsumi catches when the girls go fishing. They bring the carp to Natsumi's and put it in a pond. Later Range decides to name it "Hikarimono Boss". In a later episode the carp is referenced, so it is safe to assume that it still lives in the pond at Natsumi's house.