I love these crisp, tiny, super subtle patterns.
Source Badhon Ebrahim
A blue gray fabric-like texture for websites. An yet another fabric-like texture. It has subtle vertical and diagonal stripes to it.
Source V. Hartikainen
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
This one takes you back to math class. Classic mathematic board underlay.
Source Josh Green
A pattern derived from repeating unit cells each derived from part of a fractal rendering in paint.net.
Source Firkin
Just what the name says, paper fibers. Always good to have.
Source Heliodor jalba
From a drawing in 'Resa i Afrika, genom Angola, Ovampo och Damaraland', P. Moller, 1899.
Source Firkin
A background tile for web with abstract repeating texture of dark "stone wall".
Source V. Hartikainen
Fabric-ish patterns are close to my heart. French Stucco to the rescue.
Source Christopher Buecheler
I know there is one here already, but this is sexy!
Source Gjermund Gustavsen
Prismatic Hypnotic Pattern No Background
Source GDJ
Tweed is back in style – you heard it here first. Also, the @2X version here is great!
Source Simon Leo
One more from Badhon, sharp horizontal lines making an embossed paper feeling.
Source Badhon Ebrahim