The company that has a red circle logo with a white R in it is Rossignol
Rossignol
The company that has a red circle logo with a red R in it is RadioShack.
Any company that has registered their logo.
Toys r us
The name is bespoke
Rossignol
Advanced Micro Devices (AMD) H&R Block HTC NCR Corporation QVC (blue/green logo) Moo.com
The company with a white "r" inside a black "p" is likely "Pirelli," an Italian tire manufacturer. The logo features a stylized "P" with the "r" inside it. Pirelli is known for its high-performance tires used in motorsports and luxury vehicles.
Flickr's logo has a blue k and red r in it.
Toys R Us
The logo with a blue "R" written backwards with a white star in it is that of Toys R Us and has been in use since 2007. The Toys R Us logo has changed many times over the years. The use of the "R" written backward has been in existence since 1965, but in 1965 to 1970 the Toys R Us logo was black and white, and had no star in it.