From Homestar Runner Wiki
|Products||Home Computers and Laptop Computers|
|Slogan||If it doesn't say Compy, it might not be a computer.|
The name probably has multiple real-world references. The loading screen for the game Population: Tire indicates a parody of Commodore International. The name "Compy" and the overall look of the computer itself is somewhat evocative of Compaq Computer Corporation, which happened to produce a Compaq 386. The logo is reminiscent of the IBM logo.
Also, the 80386 and 80486 (commonly just called the 386 and 486) were early Intel processors, another reference to Strong Bad's preference for older technology.
The Compy 386 logo
The Lappy 486 logo
The Compé logo