long-established shop; shop of long standing; old shop
「老舗」 has another reading with different meanings.
あの老舗の和菓子はいつも行列ができる。
That long-established Japanese sweets shop always has a line.
老舗の味を守り続けることは簡単ではない。
It's not easy to keep the flavors of a long-established shop alive.
創業百年の老舗旅館に泊まった。
I stayed at a long-established inn that has been open for a hundred years.