I have had a similar experience as you, so I developed this website Visajob.co.uk for the convenience of checking employer identities.
"Finding a job that allows you to stay in the UK requires a lot of strategy. Personally, I searched for target companies based on where I live, and then submitted my resume specifically for positions that fit my skill set."
"When I wasn't sure if the other company had the license to back them up and didn't want to ask outright, this website came in super handy! I'd definitely give it a shoutout to my buddies."
This week, the updated number of UK work sponsorship licenses as below.
81 licenses were removed, and 404 new licenses were added.
...
This week, the updated number of UK work sponsorship licenses as below.
103 licenses were removed, and 460 new licenses were added.
This week, the total number of UK work sponsorship licenses reached 121476
108 licenses were removed, and 490 new licenses were added.