Playwright does support all major browsers. Puppeteer does support Chrome/Chromium and (early support) Firefox.

Here is the article talking about this: https://theheadless.dev/posts/basics-playwright-intro/

Hey, here is a basic & open source recorder for Puppeteer: https://github.com/checkly/puppeteer-recorder from the same team (disclaimer I'm co-founder of Checkly)