No, seriously, don't. You're probably reading this because you've asked what ISP service to use, and this is the answer.
Note: The content in this post does not apply to using ISP for their intended purpose; that is, as a premium service delivery mechanism (such as cable, VOD). It only applies to using it as a glorified proxy, which is what every third-party "Internet Service Provider" does.
Because an ISP in this sense is just a glorified proxy. The ISP can see all your traffic, and do with it what they want - including logging.