OpenCVE lets you search the CVE you want filtered by vendor, product, CVSS or CWE. Synchronized with the feed provided by the NVD. So each CVE displays the standards you already know (CVE, CPE, CWE, CVSS). You can then subscribe as many vendors or products as you want, and you will be notified as soon as a CVE concerning them is published or updated. Your custom dashboards and reports only include the CVEs associated with your subscriptions, and you can filter the list by keywords of CVSS score. OpenCVE keeps track of the changes, so you can find the history of your alerts in your Reports page. Can be self-hosted if you're concerned about leaking information outside of your organization.
REST API: https://docs.opencve.io/api/