Shameless plug: I started Facet (https://www.facet.net/passive-search) to do just this. You set your preferences for jobs you'd be interested in (salary range, tech stack, location/remote, etc) and our algorithm matches you to jobs that fit your criteria as they come up. We're adding more and more criteria as we go to get the targeting super precise.

I'm a software engineer and I noticed that LinkedIn's business model was pay to spam. They charge $3 to send a message to a candidate, so their incentive is to have recruiters send as many messages as possible so they don't want to make it easy to target. Our business model is to charge per hire, so we try to be as efficient as possible in matching people to the right job and send the fewest candidates we can to hiring managers.

We require companies to give salary and other key information in the job postings too.

We're bootstrapped and still early, but it's' been an incredible ride so far!