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
Remixed from a drawing in 'Paul's Sister', Frances Peard, 1889.
Source Firkin
Number 3 in a series of 5 beautiful patterns. Can be found in colors on the submitter’s website.
Source Janos Koos
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
Prismatic Polka Dots Mark II 3 No Background
Source GDJ
Light gray version of the Binding pattern that looks a bit like fabric.
Source Newbury
8 by 8 pixels, and just what the title says.
Source pixilated
Zero CC tileable yellow craft paper; scanned and made by me. CC0
Source Sojan Janso
CC0 and a seamless pattern from a tile drawn in Paint.net .
Source SliverKnight
Remixed from a drawing in 'A Girl in Ten Thousand', Elizabeth Meade, 1896.
Source Firkin
Alternative colour scheme for the original floral pattern.
Source Firkin
Some more diagonal lines and noise, because you know you want it.
Source Atle Mo
Remixed from a design seen on Pixabay. The basic tile can be had by selecting the rectangle in Inkscape and using shift+alt+i
Source Firkin
Remixed from a drawing in 'Chambéry à la fin du XIVe siècle', Timoleon Chapperon, 1863.
Source Firkin
A very slick dark rubber grip pattern, sort of like the grip on a camera.
Source Sinisha
A seamless pattern drawn originally in Paint.net by distorting a slice of background pattern 116 and copying the resulting triangle numerous times.
Source Firkin
Prismatic Floral Pattern 3 Variation 3 No Background
Source GDJ
Prismatic Triangular Seamless Pattern III With Background
Source GDJ
Prismatic Basic Pattern 2 No Background
Source GDJ
Remixed from a JPG that was uploaded to Pixabay by theasad121
Source Firkin
Prismatic Hypnotic Pattern No Background
Source GDJ
High detail stone wall with minor cracks and specks.
Source Projecteightyfive
Heavy depth and shadows here, but might work well on some mobile apps.
Source Damian Rivas