ManifestV3
manifest.json: use action not browser_action, see also the migration guide.
"action": {},
"background": {"service_worker": "background.js"},
background.js: use chrome.action not chrome.browserAction.
Classic ManifestV2
For those who already have added something like
"background": {
"scripts": ["background.js"]
}
and still gets Cannot read property 'onClicked' of undefined – just add
"browser_action": {}
into your manifest.json