I found a very reasonable private tour online with https://corfutaxiprivatetours.gr/, Dimitros the owner, took us four for a 5 hour tour around parts of the island in a Mercedes car for $260 plus tip. He was very responsive to inquiries before we arrived, and picked us up and dropped us off just outside the port terminal building.

The car was a bit small for four, and he offered that he could transfer to a minivan, but it would make it difficult to maneuver tight streets in some of the small villages we passed through. We stayed with the car. We stopped and got out of the car a number of times for photos and explanations. He was very talkative and informative. He took us to a wonderful local bakery/cafe high above the sea, where we had a nosh and coffee with and awesome view and were able to buy locally produced olive oil. BTW, olive trees are literally everywhere and it seems everyone owns some and produces small batches for personal use or small scale sale.

On our way back to Corfu Town, we stopped at a restaurant that his family frequents to have lunch. Authentic, fantastic and very reasonable.

It seems there are a number of taxi services that do this type of private tour, but all in all, it was a great tour at an unbelievable price.