Sometimes simple really is what you need, and this could fit you well.
Source Factorio.us Collective
Prismatic Curved Diamond Pattern 4 No Background
Source GDJ
Prismatic Curved Diamond Pattern 7 No Background
Source GDJ
Remixed from a drawing in 'A Child of the Age', Francis Adams, 1894.
Source Firkin
Simple combination of stripy squares with their negatively coloured counterparts
Source Firkin
One can never have too few rice paper patterns, so here is one more.
Source Atle Mo
Formed from decorative divider 184 in paint.net. Vectorised with Vector Magic.
Source Firkin
Otis Ray Redding was an American soul singer-songwriter, record producer, arranger, and talent scout. So you know.
Source Thomas Myrman
A seamless textured paper for backgrounds. Colored in pale orange hues.
Source V. Hartikainen
From a drawing in 'Art Embroidery', M.S. Lockwood and E. Glaister, 1878.
Source Firkin
Dead simple but beautiful horizontal line pattern.
Source Fabian Schultz
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
A subtle shadowed checkered pattern. Increase the lightness for even more subtle sexiness.
Source Josh Green
This is a seamless pattern of regular hexagon which has a honeycomb structure.
Source Yamachem
A slightly more textured pattern, medium gray. A bit like a potato sack?
Source Bilal Ketab
Dark squares with some virus-looking dots in the grid.
Source Hugo Loning
The first pattern on here using opacity. Try it on a site with a colored background, or even using mixed colors.
Source Nathan Spady
Formed by distorting the inside front cover of 'Diversæ insectarum volatilium : icones ad vivum accuratissmè depictæ per celeberrimum pictorem', Jacob Hoefnagel, 1630.
Source Firkin
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
That’s what it is, a dark dot. Or sort of carbon looking.
Source Tsvetelin Nikolov
You can never get enough of these tiny pixel patterns with sharp lines.
Source Designova
A free seamless background texture of "timber wall" (colored in dark brown).
Source V. Hartikainen