Sorry, wrong kind of company--a bank. This was in the '80s. I was hired straight out of college. And I actually didn't have a pre-employment physical, but was supposed to. I wrote about it here, but didn't feel like digging it up. Anyway, I showed up for the physical, but there was no doctor around to do it, so they sent me home.
About a year and a half later, I went to lunch with a friend. When I got back to the office, there was a message. Medical wanted to see me. I called, they said, just a quick blood pressure and weight check, a "well-employee" thing. So I went, got weighed (In clothes with shoes on). Then the nurse checked my blood pressure. She looked worried, I asked. She said I had an irregular heartbeat. I knew that--had a harmless murmur since i was a kid. She said she wanted it checked out. I wondered if the beer had anything to do with it.
She sent me to get an EKG--they had a tech! Then he sent me to the doctor, an older guy who looked like he was retired and wanted an easy gig. He looked at the printout sitting at a desk in an office, then told me he'd like to listen. He sent me into an adjoining exam room and told me to take off my shirt and have a seat on the table. Then he came in, looking at a folder. Said I never had a physical, and he'd do one now. I begged off, he said he can't sign off on me going to work. Then the clincher--he told me to get ready by taking everything off. I protested again, he insisted. I did, thinking man, this is weird. He examined me completely naked. I thought I was done after he pulled the foreskin back, squeezed the boys and did the hernia. I went to get my shorts back on, he said come back, bend over the table. I had my first rectal, and he took his time. I was so embarrassed, I was dripping and...well, you get the idea. It was a very strange way to spend a workday afternoon, needless to say.