Tel Aviv to Caesarea to Akko

Here is the overall website for all bus companies in Israel - in English:
http://bus.co.il/otobusim/Front2007/homepage.asp?Host=www.otobusim.com&Design=2007&LanguageID=20

There are a few local buses in the Caesarea area but the timetable is designed (obviously) to serve the local residents, not tourists. They leave from the villages in the morning, and return from the nearest big town (Hadera) in the late afternoon/evening, so they are of no practical use for tourists.

The train to Benyamina is beautiful. On one side you see the sea, on the other you see fields and green house and animals and homes. I don't know what you see more on the bus ( traffic and ....)

Take the train for all the reasons listed.