What are some of the common popular stable theories that are known to be dp-minimal (or not dp-minimal)?

Some dp-minimal examples I am aware of are strongly minimal theories, superstable theories of U-rank 1, and infinitely many refining equivalence relations.

The particular examples I am interested in are:

$DCF_0$

$DCF_p$

free group on $n>1$ generators

everywhere infinite forest

In general I would also like to know (relatively) classical examples of $\omega$-stable, superstable, and strictly stable theories that are not dp-minimal.