This is sort of fresh, but still feels a bit old school.
Source Martuchox
CC0 and a seamless pattern from a tile drawn in Paint.net .
Source SliverKnight
A seamless pattern with wide vertical stripes colored in pale yellow.
Source V. Hartikainen
A simple bump filter made upon request at irc #inkscape at freenode. Made a screen capture of the making here: https://youtu.be/TGAWYKVLxQw
Source Lazur URH
A grid of squares with green colours. Since the colours are randomly distributed it is automatically seamless.
Source Firkin
No, not the band but the pattern. Simple squares in gray tones, of course.
Source Atle Mo
This light background pattern has a texture of "frozen" surface with diagonal stripes. Here's an yet another addition to the collection of free website backgrounds.
Source V. Hartikainen
From a drawing in 'Les Chroniqueurs de l'Histoire de France depuis les origines jusqu'au XVIe siècle', Henriette Witt, 1884.
Source Firkin
A version without colours blended together to give a different look.
Source Firkin
A white version of the very popular linen pattern.
Source Ant Ekşiler
Basket Fibers, Basket Texture, Braid Background style CC0 texture.
Source 1A-Photoshop
A nice one indeed, but I have a feeling we have it already? If you spot a copy, let me know on Twitter.
Source Graphiste
From a tile that can be had by selecting the rectangle in Inkscape and using shift+alt+i.
Source Firkin
This is a more minute version of "fishnet 01".The image depicts a seamless pattern of a fishnet with a plenty of fish.It may be a lucky charm for fishermen.
Source Yamachem
A seamless pattern from a tile made from a jpg on Pixabay. To get the tile select the rectangle in Inkscape and use shift-alt-i.
Source Firkin
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
If you need a green background for your blog/website, try this one. Remember that Green Striped Background is seamlessly tileable.
Source V. Hartikainen
A slightly grainy paper pattern with small horizontal and vertical strokes.
Source Atle Mo
More bright luxury. This is a bit larger than fancy deboss, and with a bit more noise.
Source Viszt Péter
A free seamless background texture of "timber wall" (colored in dark brown).
Source V. Hartikainen
Seamless , tileable CC-0 texture. Created by my own, feel free to use wherever you want!
Source Linolafett
Tweed is back in style – you heard it here first. Also, the @2X version here is great!
Source Simon Leo
Just the symbols of the signs of the zodiac distributed in a chequer board-like pattern
Source Firkin
CC0 and a seamless pattern from a tile drawn in Paint.net .
Source SliverKnight
To get the tile this is based on, select the rectangle in Inkscape and use shift-alt-i.
Source Firkin