How should it be translated, then? “Cha” means tea in Japanese.
What about “Ban”?
There are various viewpoints about the origin of its name including:
1) “Ban” means “daily”. So, Bancha refers to daily tea. ( In Kyoto, daily home cooking is often called “O-banzai”)
2) The tea is made from tea leaves after being plucked for Shincha (new tea) or summer-flush tea. In other words, Bancha is made from bangai (special case) tea leaves. Its name comes from the meaning of “special case”