A seamless background pattern with a texture of wood planks. This wood background pattern has vertically arranged planks. You may try to rotate it 90°, to see how it will look like when the wood planks are arranged horizontally.
Source V. Hartikainen
Prismatic Curved Diamond Pattern 4 No Background
Source GDJ
Horizontal and vertical lines on a light gray background.
Source Adam Anlauf
Not a pattern for fabrics, but one produced from a jpg of a stack of fabric items that was posted on Pixabay. The tile that this is based on can be had by selecting the rectangle in Inkscape and using shift+alt+i.
Source Firkin
A free black metallic background pattern. Here's a new pattern I made that looks metallic.
Source V. Hartikainen
A free pink background pattern.
Source V. Hartikainen
Floral patterns will never go out of style, so enjoy this one.
Source Lasma
Prismatic Groovy Concentric Background 5
Source GDJ
Lovely pattern with some good-looking non-random noise lines.
Source Zucx
From a drawing in 'A Guide to the Guildhall of the City of London', John Baddeley, 1898.
Source Firkin
Sort of like the Photoshop transparent background, but better!
Source Alex Parker
I’m not going to use the word Retina for all the new patterns, but it just felt right for this one. Huge wood pattern for ya’ll.
Source Atle Mo
One more updated pattern. Not really carbon fiber, but it’s the most popular pattern, so I’ll give you an extra choice.
Source Atle Mo
The unit cell for this seamless pattern can be had in Inkscape by selecting the rectangle and using shift+alt+i.
Source Firkin
You could get a bit dizzy from this one, but it might come in handy.
Source Dertig Media
Prismatic Triangular Seamless Pattern III With Background
Source GDJ
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
Classy golf-pants pattern, or crossed stripes if you will.
Source Will Monson
From a drawing in 'Art Embroidery', M.S. Lockwood and E. Glaister, 1878.
Source Firkin
Prismatic Rounded Squares Grid 4 No Background
Source GDJ
From a drawing in 'Two Women in the Klondike', Mary Hitchcock, 1899.
Source Firkin
Dark Tile-able Grunge Texture. I think this texture can be classified as grunge. It's free and seamless, as always.
Source V. Hartikainen
One more sharp little tile for you. Subtle circles this time.
Source Blunia