What you get at the store, servicable quality
Epson Ultra Photo Paper Glossy
Thicker, heavier paper stock, feels better in hands
Epson Ultra Photo Paper Luster
A semi glass with a textured finish, my goto value paper
Epson Ultra Paper Premium Matte
Zero gloss, but the color gamut of the below matte papers are better
Epson Hot Press Paper
Cotton based paper with matte finish, very heavy, good color gamut. Hot press means it is super smooth. Paper color is slightly warmer. Great for nature and landscape.
Epson Cold Press Paper
like above but with a more textured matte finish
Epson Velvet Fine Art Paper
Cotton based paper with matte finish with a watercolor paper- type texture
Epson Exhibition Fiber Based Paper
Very heavy, fiber based paper, resembles darkroom style photographic prints, great for exhibitions, deep blacks and subtle tonal gradations make this the best paper for black and white. Also good for portraits.
Third Party brands I support
Red River Metallic Paper
a high gloss finish and a pearlescent base stock that yields an elegant iridescence in your images. Great for images of archetecure, cars, and other high contrast images.
Red River Baryta
Kind of like a semigloss version of the Epson Fiber paper, better suited for color printing with a warm white paper color.
Red River Canvas Paper
If you want that painterly look
more options from Red River Paper
Hanemuhle makes probably the best, thickest, most premium paper out there. If I were going into a museum or new york gallery, I might splurge on this stuff.