Remixed from a design seen in 'Burghley. The Life of William Cecil', William Charlton, 1857. The tile this is based on can be had by selecting the rectangle in Inkscape and using shift+alt+i.
Source Firkin
Some rectangles, a bit of dust and grunge, plus a hint of concrete.
Source Atle Mo
A slightly more textured pattern, medium gray. A bit like a potato sack?
Source Bilal Ketab
Prismatic Curved Diamond Pattern 5 No Background
Source GDJ
Continuing the geometric trend, here is one more.
Source Mike Warner
Small dots with minor circles spread across to form a nice mosaic.
Source John Burks
A slightly grainy paper pattern with small horizontal and vertical strokes.
Source Atle Mo
Zerro CC tillable texture of stones photographed and made by me. CC0
Source Sojan Janso
Paper model of a tetrahedron. Modelo de papel de um tetraedro.
Source laobc
Psychedelic Geometric Background No Black
Source GDJ
From a tile that can be had by selecting the rectangle in Inkscape and using shift+alt+i.
Source Firkin
A repeating gloomy background image. This one consists of a pattern of black chains layered on top of a dark textured background.
Source V. Hartikainen
Light gray pattern with an almost wall tile-like appearance.
Source Markus Tinner
Run a restaurant blog? Here you go. Done.
Source Andrijana Jarnjak
Prismatic Curved Diamond Pattern 8 No Background
Source GDJ
Prismatic Geometric Pattern Background No Black
Source GDJ
Alternative colour scheme. 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
To get the tile this is based on select the rectangle in Inkscape and use shift+alt+i.
Source Firkin
This light background pattern has a texture of "frozen" surface with diagonal stripes. Here's an yet another addition to the collection of free website backgrounds.
Source V. Hartikainen
Prismatic Polka Dots Mark II 2 No Background
Source GDJ
This was formed by distorting an image of a background on Pixabay.
Source Firkin