Here's a quite bright pink background pattern for use on websites. It doesn't look like a real fur, but it definitely resembles one.
Source V. Hartikainen
Prismatic Abstract Line Art Pattern Background
Source GDJ
This was formed by distorting an image of a background on Pixabay.
Source Firkin
The unit cell for this seamless pattern can be had in Inkscape by selecting the rectangle and using shift+alt+i.
Source Firkin
A seamless pattern based on a rectangular tile that can be retrieved in Inkscape by selecting the rectangle and using shift-alt-i.
Source Firkin
Derived from an image that was uploaded to Pixabay by Kaz
Source Firkin
Remixed from a design on Pixabay. To get the tile this is based on select the rectangle in Inkscape and use shift-alt-i.
Source Firkin
Zero CC tillable hard cover red book with X shape marks. Scanned and made by me.
Source Sojan Janso
White little knobs, coming in at 10x10px. Sweet!
Source Amos
Everyone loves a diamond, right? Make your site sparkle.
Source AJ Troxell
A background formed from an image of an old tile on the New York Metropolitan Museum of Art website. To get the base tile, select the rectangle in Inkscape and use shift-alt-i.
Source Firkin
Formed from decorative divider 184 in paint.net. Vectorised with Vector Magic.
Source Firkin
Seamless SVG vector and JPG backgrounds with faded diagonal stripes. The colors are editable.
Source V. Hartikainen
To get the tile this is based on, select the rectangle in Inkscape and use shift+alt+i.
Source Firkin
Can’t believe we don’t have this in the collection already! Slick woven pattern with crisp details.
Source Max Rudberg
If you’re sick of the fancy 3D, grunge and noisy patterns, take a look at this flat 2D brick wall.
Source Listvetra
Zero CC tileable dry grass texture, photographed and made by me. CC0
Source Sojan Janso
Zero CC bark from fur tree tileable texture, photographed and made by me. CC0
Source Sojan Janso
An emulated “transparent” background pattern, like that of all kinds of computer graphics software.
Source AdamStanislav
Sweet and subtle white plaster with hints of noise and grunge.
Source Phil Maurer
Dark blue concrete wall with some small dust spots.
Source Atle Mo
Same as Silver Scales, but in black. Turn your site into a dragon with this great scale pattern.
Source Alex Parker
Sharp pixel pattern looking like some sort of fabric.
Source Dmitry
A seamless pattern with green and yellow diagonal lines on top of a white dotted background.
Source V. Hartikainen
Nicely executed tiling for an interesting pattern.
Source Ignasi Àvila Padró