A monochrome pattern from a tile that can be had by selecting the rectangle in Inkscaope and using shift+alt+i
Source Firkin
Sort of like the back of a wooden board. Light, subtle, and stylish, just the way we like it!
Source Nikolalek
A seamless pattern the starting point for which was a 'colour modulo' texture in Paint.net.
Source Firkin
Not so subtle. These tileable wood patterns are very useful.
Source Elemis
Tiny, tiny 3D cubes. Reminds me of the good old pattern from k10k.
Source Etienne Rallion
A version without colours blended together to give a different look.
Source Firkin
A grid of squares with green colours. Since the colours are randomly distributed it is automatically seamless.
Source Firkin
A free tileable background colored in off-white (antique white) color.
Source V. Hartikainen
A dark metallic background with a pattern of stamped dots. Here's a dark "metallic" background pattern for you.
Source V. Hartikainen
A free seamless texture of reptile skin colored in a dark brown color. As always, you may use it as a repeated background image in your web design works, or for any other purposes.
Source V. Hartikainen
Prismatic Abstract Geometric Background 2 No Black
Source GDJ
It looks like a polished stone surface to me. Download it for free, as always.
Source V. Hartikainen
Zero CC tileable seed texture, edited by me to be seamless from a Pixabay image. CC0
Source Sojan Janso
Remixed from a drawing in 'A Child of the Age', Francis Adams, 1894.
Source Firkin
High detail stone wall with minor cracks and specks.
Source Projecteightyfive
Sharp but soft triangles in light shades of gray.
Source Pixeden
Looks like a technical drawing board: small squares forming a nice grid.
Source We Are Pixel8
Inspired by a pattern seen on a public domain image of a very old tile. To get the unit cell, select the rectangle in Inkscape and use shift+alt+i.
Source Firkin
Prismatic Abstract Line Art Pattern Background
Source GDJ