Washi (和紙?) is a type of paper made in Japan. Here’s the pattern for you!
Source Carolynne
This one is super crisp at 2X. Lined paper with some dust and scratches.
Source HQvectors
Used a cherry by doctormo to make this seamless pattern
Source Firkin
Here's an yet another seamless note paper texture for use as a background on websites.
Source V. Hartikainen
Seamless pattern formed from a tile that can be extracted by selecting the rectangle in Inkscape and using shift-alt-i.
Source Firkin
Simple wide squares with a small indent. Fits all.
Source Petr Šulc.
A seamless texture traced from an image on opengameart.org shared by Scouser.
Source Firkin
A seamless texture traced from an image on opengameart.org shared by Scouser.
Source Firkin
Same as gray sand but lighter. A sandy pattern with small light dots, and some angled strokes.
Source Atle Mo
Inspired by a 1930s wallpaper pattern I saw on TV.
Source Firkin
A black tile-able background with paper-like texture.
Source V. Hartikainen
Dark, crisp and subtle. Tiny black lines on top of some noise.
Source Wilmotte Bastien
Not a pattern for fabrics, but one produced from a jpg of a stack of fabric items that was posted on Pixabay. The tile that this is based on can be had by selecting the rectangle in Inkscape and using shift+alt+i.
Source Firkin
A seamless web background with texture of aged grid paper.
Source V. Hartikainen
Zero CC tileable Crackled Cement (streaks) texture, photographed and made by me. CC0
Source Sojan Janso
Super dark, crisp and detailed. And a Kill Bill reference.
Source Badhon Ebrahim
Drawn in Paint.net using the kaleidoscope plug-in and vectorised.
Source Firkin
Zerro CC tillable texture of stones photographed and made by me. CC0
Source Sojan Janso
From a drawing in 'In an Enchanted Island', William Mallock, 1892.
Source Firkin
Formed from decorative divider 184 in paint.net. Vectorised with Vector Magic.
Source Firkin
Lovely pattern with some good-looking non-random noise lines.
Source Zucx
An abstract texture of black metal pipes (seamless).
Source V. Hartikainen
From a drawing in 'Art Embroidery', M.S. Lockwood and E. Glaister, 1878.
Source Firkin
Clean and crisp lines all over the place. Wrap it up with this one.
Source Dax Kieran
That’s what it is, a dark dot. Or sort of carbon looking.
Source Tsvetelin Nikolov