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
Remixed from a raster on Pixabay that was uploaded by ArtsyBee.
Source Firkin
A seamless pattern formed from cross 4. To get the original tile select the rectangle in Inkscape and use shift-alt-i.
Source Firkin
Zerro CC tillable texture of stones photographed and made by me. CC0
Source Sojan Janso
The texture of this background image has some similarities with leather, and it's colored in a dark brown color. So, if you are looking for a dark brown background image for your website, this may be an option for you.
Source V. Hartikainen
More leather, and this time it’s bigger! You know, in case you need that.
Source Elemis
Seamless , tileable CC-0 texture. Created by my own, feel free to use wherever you want!
Source Linolafett
Medium gray pattern with small strokes to give a weave effect.
Source Catherine
Light and tiny, just the way you like it.
Source Rohit Arun Rao
To get the tile this is based on select the rectangle in Inkscape and use shift+alt+i
Source Firkin
Retro Circles Background 4 No Black
Source GDJ
From a tile that can be had by selecting the rectangle in Inkscape and using shift+alt+i.
Source Firkin
Prismatic Groovy Concentric Background 3 No Black
Source GDJ
Prismatic Curved Diamond Pattern 4 No Background
Source GDJ
CC0 remixed from a drawing. Walter Crane, 1914, Firkin.
Source SliverKnight
This one is rather fun and playful. The 2X could be used at 1X too!
Source Welsley
Real snow that tiles, not easy. This is not perfect, but an attempt.
Source Atle Mo
A seamless chequerboard pattern formed from a tile that can be had in Inkscape by selecting the rectangle and using shift+alt+i. Alternative colour scheme.
Source Firkin
Might not be super subtle, but quite original in its form.
Source Alex Smith