Here's a list, including some shorter words:
3 Letters
* age
* ale
* eat
* eel
* leg
* let
* set
* vet
4 Letters
* gets
* late
* leaf
* lest
* tale
* tear
* vole
5 Letters
* eagle
* stale
* table
6 Letters
* begets
* getable
* vegetable
7 Letters
* vegetable
Total: 22 words
Let me know if you'd like to try another word!