1. In positively-stated sentences with a one-part verb
a. He still likes you (even though you haven't treated him well).
b. She still wants to become a doctor (even after all these years).
2. In positively-stated sentences with a two-part verb
a. I am still waiting for you (even though I should have left by now).
b. He is still planning to go to the soccer game tomorrow (even though there's a good reason for him not to go).
NOTE that in the two last examples, "still" goes between the two verb parts.
3. In a negatively-stated sentence with a one part verb
a. He still never eats out (even after all these years).
b. They still never buy suntan lotion (even though they've been burned several times).
4. In a negatively-stated sentence with a two part verb
a. I still don't talk to Fred (ever since he treated me so badly five years ago).
b. She still hasn't been to Las Vegas (even though she's lived in California for fifteen years).
NOTE that in the last two examples, "still" goes before both parts of the verb