A repeating background of thick textured paper. Actually, it turned out to look like something between a paper and fabric.
Source V. Hartikainen
Sometimes you just need the simplest thing.
Source Fabricio
From a drawing in 'Art Embroidery', M.S. Lockwood and E. Glaister, 1878.
Source Firkin
Zero CC tileable pine bark texture, photographed and made by me. CC0
Source Sojan Janso
A smooth mid-tone gray, or low contrast if you will, linen pattern.
Source Jordan Pittman
Heavily remixed from a drawing in 'Barbara Leybourne; a story of eighty years ago', Sarah Hamer, 1889.
Source Firkin
White circles connecting on a light gray background.
Source Mark Collins
This is the third pattern called Dark Denim, but hey, we all love them!
Source Brandon Jacoby
Prismatic Polka Dots Mark II No Background
Source GDJ
Could remind you a bit of those squares in Super Mario Bros, yeh?
Source Jeff Wall
A huge one at 800x600px. Made from a photo I took going home after work.
Source Atle Mo
Black paper texture, based on two different images.
Source Atle Mo
Based from Design Kindle
Smooth Polaroid pattern with a light blue tint.
Source Daniel Beaton
From a tile that can be had by selecting the rectangle in Inkscape and using shift+alt+i.
Source Firkin
A seamless pattern of dark bricks. Maybe it's not very realistic, but it looks good in my opinion.
Source V. Hartikainen
So tiny, just 7 by 7 pixels – but still so sexy. Ah yes.
Source Dmitriy Prodchenko
One more from Badhon, sharp horizontal lines making an embossed paper feeling.
Source Badhon Ebrahim
Nasty or not, it’s a nice pattern that tiles. Like they all do.
Source Badhon Ebrahim
Light and tiny, just the way you like it.
Source Rohit Arun Rao
Derived from elements found in a floral ornament drawing on Pixabay.
Source Firkin
Vertical lines with a bumpy, yet crisp, feel to it.
Source Raasa
Remixed from a design seen in 'Burghley. The Life of William Cecil', William Charlton, 1857.
Source Firkin
A seamless pattern from a tile drawn in Paint.net and vectorised in Vector Magic
Source Firkin