The basic shapes never get old. Simple triangle pattern.
Source Atle Mo
Medium gray fabric pattern with 45-degree lines going across.
Source Atle Mo
Zerro CC tillable texture of stones photographed and made by me. CC0
Source Sojan Janso
A dark pattern made out of 3×3 circles and a 1px shadow. This works well as a carbon texture or background.
Source Atle Mo
The classic 45-degree diagonal line pattern, done right.
Source Jorick van Hees
Remixed from a drawing in 'The Canadian horticulturist', 1892
Source Firkin
This one is amazing, truly original. Go use it!
Source Viahorizon
A textured orange background pattern with vertical stripes.
Source V. Hartikainen
Nothing like a clean set of bed sheets, huh?
Source Badhon Ebrahim
With a name like this, it has to be hot. Diagonal lines in light shades.
Source Isaac
Remixed from an image that was uploaded to Pixabay by Pixeline
Source Firkin
A web texture of brown canvas. Will look great, when used in dark web designs.
Source V. Hartikainen
Non-seamless pattern drawn in Paint.net and vectorised in Vector Magic.
Source Firkin
Zero CC tileable ground cracked, crackled, texture, made by me.
Source Sojan Janso
Scanned some rice paper and tiled it up for you. Enjoy.
Source Atle Mo
White little knobs, coming in at 10x10px. Sweet!
Source Amos
You know you can’t get enough of these linen-fabric-y patterns.
Source James Basoo
Sometimes you just need the simplest thing.
Source Fabricio
The file was named striped lens, but hey – Translucent Fibres works too.
Source Angelica
Prismatic Abstract Background Design
Source GDJ
The edges of all the red objects line up either vertically or horizontally, but it doesn't appear so. Made from a square tile that can be got by selecting the rectangle in Inkscape and using shift+alt+i.
Source Firkin
Zerro CC tillable texture of stones photographed and made by me. CC0
Source Sojan Janso
A brown seamless wood texture in a form of stripe pattern. The result has turned out pretty well, in my opinion.
Source V. Hartikainen