The Xerox company was started in 1906 but at the time was called the "Haloid Photographic company. Its current name wasn't in use until 1961. The company manufactures printers and photocopiers. As you can see by the examples I have given the logo has undergone a lot of changes through the years, which doesn't really help with logo recognition. Despite this, the company seems to be doing just fine. I do like the new logo much more that the previous logos because it is much more interesting to look at with the incorporation of a symbol. The placement of the symbol is also pretty good.
Info from - http://famouslogos.net/xerox-logo/
The Adobe company was started in 1982 by John Warnock and Charles Geschke. John Warnocks wife, Marva, designed the logo, but the logo has been modified to its current version which is red and white. I do like the new logo more than the old one, but perhaps this is because it is brighter. While the logos loosely resemble one another, they are still very different from one another. While this may have effected the logos recognition in the eye of the general public it doesn't seem to have effected to popularity of the company itself.
The Dolce and Gabbana logo, like many of fashion company logos, is very simple in design. Composed completely of type, the logo consists of a black san serif font on a white background. The company itself was founded by two Italians in 1985 and the company focuses on clothing and accessories. I love fashion but sadly I am unfamiliar with this logo, unlike those who purchase products from the company. It doesn't seem as though the logo has changed since the company was started which has most likely helped with the brands popularity and recognition.
In 1966 Richard M. Schulze started the Best Buy company, only at the time of its beginning the company was called, "The Sound of Music". The current logo is simplistic and to the point. Its bright colors make it stand out. While the logo is easy to remember, its design could be improved. The logo is meant to represent a company that sells its products for cheaper than other competitors and while the logo isn't necessarily cheap in design the typography could be improved. This is one of those cases where the designers put very large font in a very small box. With little breathing room the font becomes cramped. The constant change of the logo design may have also effected branding recognition for the company.