Nice and simple crossed lines in dark gray tones.
Source Stefan Aleksić
To get the tile this is formed from select the rectangle in Inkscape and use shift+alt+i.
Source Firkin
Basket Fibers, Basket Texture, Braid Background style CC0 texture.
Source 1A-Photoshop
Zerro CC tillable texture of stones photographed and made by me. CC0
Source Sojan Janso
Not so subtle. These tileable wood patterns are very useful.
Source Elemis
White handmade paper pattern with small bumps.
Source Marquis
This one resembles a black concrete wall when is tiled. It should look great, at least with dark website themes.
Source V. Hartikainen
To get the tile this is based on, select the rectangle in Inkscape and use shift+alt+i.
Source Firkin
Zerro CC tillable texture of stones photographed and made by me. CC0
Source Sojan Janso
Lovely light gray floral motif with some subtle shades.
Source GraphicsWall
A pattern derived from repeating unit cells each derived from part of a mosaic in paint.net. The starting point for the mosaic was a picture of some prawns!
Source Firkin
Not even 1kb, but very stylish. Gray thin lines.
Source Struck Axiom
A seamless web texture with illustration of pale color stains on canvas.
Source V. Hartikainen
Seamless pattern the tile for which can be had by using shift-alt-I on the selected rectangle in Inkscape.
Source Firkin
A monochrome pattern from a tile that can be had by selecting the rectangle in Inkscaope and using shift+alt+i
Source Firkin
Submitted as a black pattern, I made it light and a few steps more subtle.
Source Andy
This is a seamless pattern of regular hexagon which has a honeycomb structure.
Source Yamachem
A seamless pattern from a tile drawn in Paint.net and vectorised in Vector Magic
Source Firkin
This background pattern contains a texture of yellow wood planks. I think it looks quite original.
Source V. Hartikainen
I know there is one here already, but this is sexy!
Source Gjermund Gustavsen
Remixed from a drawing in 'A Child of the Age', Francis Adams, 1894.
Source Firkin
Remixed from a PNG that was uploaded to Pixabay by k_jprather
Source Firkin
Number five from the same submitter, makes my job easy.
Source Dima Shiper
Cubes as far as your eyes can see. You know, because they tile.
Source Jan Meeus
A pale olive green background with a seamless texture.
Source V. Hartikainen