Apple

1976
This logo was designed by Ronald Wayne. The border reads "Newton…A Mind Forever Voyaging Through Strange Seas of Thought…Alone."

1976–August 1998
This logo was designed by Rob Janoff and is rainbow. Despite the logo change that followed, it was still used as the Apple menu logo in Mac OS 9, which was last updated in August 1998.

1976–present
Although it is not clearly marked by any logo change, Apple Computer Inc. was renamed Apple Inc. in January 2007 with the announcement of two non-computer products, the Apple TV and the iPhone.

2003–2013
The logo was introduced in Mac OS X Panther in 2003 and integrated with the iPhone in 2007, but was discontinued when Apple dropped the skeuomorphic look with iOS 7 in 2013.

Website
This is a look at the website history.

Trivia
An urban legend is that the bite mark in the apple represented a computer byte, however Rob Janoff who created logo answered: "They are really interesting, but I'm afraid it didn't have a thing to do with it. From a designer's point of view and you probably experienced this, one of the big phenomena is having the experience of designing a logo for whatever reasons you design it, and years later you find out supposedly why you did certain things. And, they are all BS. It's a wonderful urban legend. Somebody starts it and then people go "oh yeah, that must be it"."