Not even 1kb, but very stylish. Gray thin lines.
Source Struck Axiom
A monochrome pattern from a tile that can be had by selecting the rectangle in Inkscaope and using shift+alt+i
Source Firkin
So tiny, just 7 by 7 pixels – but still so sexy. Ah yes.
Source Dmitriy Prodchenko
Seamless , tileable CC-0 texture. Created by my own, feel free to use wherever you want!
Source Linolafett
The name is totally random, but hey, it sounds good.
Source Atle Mo
Sometimes simple really is what you need, and this could fit you well.
Source Factorio.us Collective
Drawn in Paint.net and vectorised in Vector Magic.
Source Firkin
The tile can be had by using shift+alt+i on the selected rectangle in Inkscape
Source Firkin
A floral background formed from numerous clones of flower 117.
Source Firkin
Prismatic Triangular Background Design Mark II 5
Source GDJ
A comeback for you: the popular Escheresque, now in black.
Source Patten
Semi-light fabric pattern made out of random pixels in shades of gray.
Source Atle Mo
Turn your site into a dragon with this great scale pattern.
Source Alex Parker
Remixed from a design seen in 'Burghley. The Life of William Cecil', William Charlton, 1857
Source Firkin
Prismatic Curved Diamond Pattern 6 No Background
Source GDJ
From a drawing in 'Resa i Afrika, genom Angola, Ovampo och Damaraland', P. Moller, 1899.
Source Firkin
Light gray pattern with an almost wall tile-like appearance.
Source Markus Tinner
Horizontal and vertical lines on a light gray background.
Source Adam Anlauf
Inspired by a drawing in 'Poems', James Smith, 1881.
Source Firkin