I took the liberty of using Dmitry’s pattern and made a version without perforation.
Source Atle Mo
Prismatic Hypnotic Pattern 2 No Background
Source GDJ
Design drawn in Paint.net, vectorised using Vector Magic and finished in Inkscape.
Source Firkin
This one needs to be used in small areas; you can see it repeat.
Source Luca
A seamless web texture of "green stone".
Source V. Hartikainen
Adapted heavily from a JPG that was uploaded to Pixabay by Viscious-Speed.
Source Firkin
Remixed from a design on Pixabay. To get the tile this is based on select the rectangle in Inkscape and use shift-alt-i.
Source Firkin
A dark gray, sandy pattern with small light dots, and some angled strokes.
Source Atle Mo
Got some felt in my mailbox today, so I scanned it for you to use.
Source Atle Mo
From a drawing in 'Danmarks Riges Historie af J. Steenstrup, Kr. Erslev, A. Heise, V. Mollerup, J. A. Fridericia, E. Holm, A. D. Jørgensen', 1897.
Source Firkin
To get the tile this is based on select the rectangle in Inkscape and use shift+alt+i.
Source Firkin
More bright luxury. This is a bit larger than fancy deboss, and with a bit more noise.
Source Viszt Péter
White fabric looking texture with some nice random wave features.
Source Hendrik Lammers
From a drawing in 'A Life Interest', Mrs Alexander, 1888.
Source Firkin
Can never have too many knitting patterns, especially as nice as this.
Source Victoria Spahn
Everyone loves a diamond, right? Make your site sparkle.
Source AJ Troxell
Dark Tile-able Grunge Texture. I think this texture can be classified as grunge. It's free and seamless, as always.
Source V. Hartikainen
Dark, lines, noise, tactile. You get the drift.
Source Anatoli Nicolae
Prismatic Basic Pattern 2 No Background
Source GDJ
A seamless chequerboard pattern formed from a tile that can be had in Inkscape by selecting the rectangle and using shift+alt+i. Alternative colour scheme.
Source Firkin
From a design found in 'History of the Virginia Company of London; with letters to and from the first Colony, never before printed', Edward Neill, 1869.
Source Firkin
Prismatic Groovy Concentric Background 2
Source GDJ