I just click the unsubscribe links. If you have a backlog to process, maybe it'll take you an hour a day for a few days to click them all, but it's doable.
Then I'm aggressive about clicking unsubscribe when the unwanted emails show up. It's been very effective, I basically get no spam other than the pure junk that my provider (Fastmail) filters for me, and for which GMail would do the same.
When I see other people's inboxes full of crap I don't understand why they don't just click unsubscribe and be done with it?