The following orange background pattern resembles a honeycomb.
Source V. Hartikainen
A seamless texture traced from an image on opengameart.org shared by Scouser.
Source Firkin
Prismatic Groovy Concentric Background
Source GDJ
I asked Gjermund if he could make a pattern for us – result!
Source Gjermund Gustavsen
Light and tiny, just the way you like it.
Source Rohit Arun Rao
A grid of squares with green colours. Since the colours are randomly distributed it is automatically seamless.
Source Firkin
Prismatic Abstract Geometric Background 5 No Black
Source GDJ
Everyone loves a diamond, right? Make your site sparkle.
Source AJ Troxell
Fabric-ish patterns are close to my heart. French Stucco to the rescue.
Source Christopher Buecheler
Prismatic Polyskelion Pattern No Background
Source GDJ
More tactile goodness. This time in the form of some rough cloth.
Source Bartosz Kaszubowski
A dark brown fabric-like background texture with seamless pattern of winding stripes.
Source V. Hartikainen
Zero CC tileable cork floor, photographed and made by me. CC0
Source Sojan Janso
Abstract Tiled Background Extended 6
Source GDJ
Tiny little fibers making a soft and sweet look.
Source Badhon Ebrahim
There are quite a few grid patterns, but this one is a super tiny grid with some dust for good measure.
Source Dominik Kiss
From a drawing in 'Gately's World's Progress', Charles Beale, 1886.
Source Firkin
Prismatic Curved Diamond Pattern 5 No Background
Source GDJ
The unit cell for this seamless pattern can be had in Inkscape by selecting the rectangle and using shift+alt+i.
Source Firkin
Colour version of the original seamless pattern.
Source Firkin
A brown metallic grid pattern layered on top of a dark fabric texture. It should look great when using as a tiled background on web pages, especially blogs.
Source V. Hartikainen
Very simple, very blu(e). Subtle and nice.
Source Seb Jachec
Simple wide squares with a small indent. Fits all.
Source Petr Šulc.
Vector version of a png that was uploaded to Pixabay by pencilparker
Source Firkin
The square tile this is based on can be had by selecting the rectangle in Inkscape and using shift+alt+i
Source Firkin