Three shades of gray makes this pattern look like a small carbon fiber surface. Great readability even for small fonts.
Source Atle Mo
The green fibers pattern will work very well in grayscale as well.
Source Matteo Di Capua
A seamless paper background colored in pale yellow.
Source V. Hartikainen
Nothing like a clean set of bed sheets, huh?
Source Badhon Ebrahim
A seamless pattern from a tile made from a jpg on Pixabay. To get the tile select the rectangle in Inkscape and use shift-alt-i.
Source Firkin
Seamless Light Background Texture.
Source V. Hartikainen
Here's an yet another background for websites, with a seamless texture of wood planks this time.
Source V. Hartikainen
Prismatic Geometric Tessellation Pattern 4 No Background
Source GDJ
Retro Circles Background 7 No Black
Source GDJ
The classic 45-degree diagonal line pattern, done right.
Source Jorick van Hees
Kaleidoscope Prismatic Abstract No Background
Source GDJ
Utilising some flowers from Almeidah. To get the unit tile, select the rectangle in Inkscape and use shift-alt-i.
Source Firkin
Prismatic Abstract Geometric Background 4 No Black
Source GDJ
A dark one with geometric shapes and dotted lines.
Source Mohawk Studios
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
From a drawing in 'Les Chroniqueurs de l'Histoire de France depuis les origines jusqu'au XVIe siècle', Henriette Witt, 1884.
Source Firkin
This one takes you back to math class. Classic mathematic board underlay.
Source Josh Green
Farmer could be some sort of fabric pattern, with a hint of green.
Source Fabian Schultz
A floral background formed from numerous clones of flower 117.
Source Firkin
This one resembles a black concrete wall when is tiled. It should look great, at least with dark website themes.
Source V. Hartikainen