The Detroit Lions of the NFL.
There are quite a number of various sports teams, native to the United States, which use various kinds of logos to represent themselves with. The team with an eagle in the logo is the Philadelphia Eagles football team.
dime
adidas
the Chicago cubs (the c on their hats at least)
Barclays uses a blue eagle as their logo.
In the 1960's the lakers had a giraffe in front of the basket ball on their uniforms.
The US basketball DREAM logo uses a custom font called TS2. It was custom made for this logo and therefore may not be able to be used for personal typing and other logos.
Kmart uses a K as its logo.
mostly team sports :) football Rugby cross country (individual) Athletics etc.
It is possible that you have had some contact with a company, such as Blue Cat Networks, or The Blue Cat Cafe, that uses a blue cat as a logo. Otherwise, there is no particular symbolism in a cat that has been painted blue. Perhap you favor a sports team whose colors are blue; in that case, the dream reflects your enthusiasm for that team.
I'm pretty sure it is Aeropostale that uses the butterfly logo...but I'm not so sure any designer uses it. :-)