A set that is transitive but not well-ordered by $\in$?

Question

I am trying to find a transitive set which is not well-ordered by $\in$. This question raises when I read Jech's Set Theory, in which an ordinal number is defined as a transitive and $\in$-well-ordered set.

Thanks!

Answer 1

$V_\omega$ is a very easy example; more generally, $V_\alpha$ for $\alpha\ge 2$. In particular, $\{0,1,2,\{1\}\}$ is a small example.