Small gradient crosses inside 45-degree boxes, or bigger crosses if you will.
Source Wassim
Prismatic Groovy Concentric Background 2 No Black
Source GDJ
Remixed from a drawing in 'A Girl in Ten Thousand', Elizabeth Meade, 1896.
Source Firkin
Number 2 in a series of 5 beautiful patterns. Can be found in colors on the submitter’s website.
Source Janos Koos
A pale yellow background pattern with vertical stripes. The stripes are partially faded. I think this background image turned out pretty well, especially those faded stripes.
Source V. Hartikainen
Embossed lines and squares with subtle highlights.
Source Alex Parker
Bigger is better, right? So here you have some large carbon fiber.
Source Factorio.us Collective
This one is amazing, truly original. Go use it!
Source Viahorizon
There are many carbon patterns, but this one is tiny.
Source Designova
Like the name suggests, this background image consists of a pattern of dark bricks. It may be an option for you, if you are looking for something that looks like a brick wall for use as a background on web pages. It's not a masterpiece, but looks pretty nice when is tiled.
Source V. Hartikainen
A free repetitive background with a dark concrete wall like texture. This one may be used in dark web site designs.
Source V. Hartikainen
Prismatic Geometric Tessellation Pattern 4 No Background
Source GDJ
Sharp diamond pattern. A small 24x18px tile.
Source Tom Neal
The classic subtle pattern. Sort of wall/brick looking. Or moon-looking?
Source Joel Klein
Dark, crisp and subtle. Tiny black lines on top of some noise.
Source Wilmotte Bastien
From a tile that can be had by selecting the rectangle in Inkscape and using shift+alt+i.
Source Firkin
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
Could be paper, could be a Polaroid frame – up to you!
Source Chaos
Formed from a tile based on a drawing from 'Viaggi d'un artista nell'America Meridionale', Guido Boggiani, 1895.
Source Firkin
ZeroCC tileable stone texture, edited from pixabay, CC0
Source Sojan Janso
Bright gray tones with a hint of some metal surface.
Source Hendrik Lammers