I use Honda power steering fluid, and if I had an automatic transmission in my Civic, I would use Honda ATF, but since I have a manual transmission, I use synthetic 10W-30 oil in my transmission, any brand name brake fluid in my clutch and brake systems, and any brand name coolant of the correct type in the cooling system.
For some things, like automatic transmissions and power steering, you should stick with Honda fluids. For everything else, just make sure you use the right type, regardless of the brand.