なり～なり

なり～なり offers two choices as examples – "A or B, or something like that" – and the sentence goes on to say that the listener should do one of them. It follows the dictionary form of a verb, or a noun with nothing in between, and the second half is advice, a suggestion or a request.

The two items are examples, not a closed list: anything along those lines would do. Because it tells someone what to do, it can sound pushy, even impatient, and you don't use it to someone above you.

• × 電話したなりメールしたなり → 電話するなりメールするなり
• × 先生だなり先輩だなり → 先生なり先輩なり

なり～なり or たり～たり

たり〜～たり lists things someone does or did. なり～なり only suggests what someone could do, so it never describes what has already happened.

• × 週末は本を読むなり音楽を聴くなりした → 週末は本を読んだり音楽を聴いたりした

When the two choices end the clause, the second なり often takes して before the sentence carries on, as in the example above.