Not even 1kb, but very stylish. Gray thin lines.
Source Struck Axiom
This is so subtle you need to bring your magnifier!
Source Carlos Valdez
Prismatic Abstract Line Art Pattern Background
Source GDJ
A grayscale fabric pattern with vertical lines of stitch holes.
Source V. Hartikainen
The unit cell for this seamless pattern can be had in Inkscape by selecting the rectangle and using shift+alt+i.
Source Firkin
A blue background wallpaper for websites. It has a seamless texture with vertical stripes. It looks quite nice not only when using as a tiled background on websites, but also on computer desktops.
Source V. Hartikainen
Submitted in a cream color, but you know how I like it.
Source Devin Holmes
Derived from a drawing in 'The Murmur of the Shells', Samuel Cowen, 1879.
Source Firkin
Derived from an image that was uploaded to Pixabay by pugmom40
Source Firkin
From a drawing in 'Navigations de Alouys de Cademoste.-La Navigation du Capitaine Pierre Sintre', Alvise da ca da Mosto, 1895.
Source Firkin
I took the liberty of using Dmitry’s pattern and made a version without perforation.
Source Atle Mo
To get the tile this is based on, select the rectangle in Inkscape and use shift+alt+i.
Source Firkin
A seamless texture of worn out "cardboard".
Source V. Hartikainen
A topographic map like this has actually been requested a few times, so here you go!
Source Sam Feyaerts
Zerro CC tillable texture of stones photographed and made by me. CC0
Source Sojan Janso
Derived from an image that was uploaded to Pixabay by Darkmoon1968
Source Firkin
One more from Badhon, sharp horizontal lines making an embossed paper feeling.
Source Badhon Ebrahim
To get the tile this is based on select the rectangle in Inkscape and use shift-alt-i
Source Firkin
Vector version of a png that was uploaded to Pixabay by pencilparker
Source Firkin
From a drawing in 'Gately's World's Progress', Charles Beale, 1886.
Source Firkin