I skipped number 3, because it wasn’t all that great. Sorry.
Source Dima Shiper
Nice little grid. Would work great as a base on top of some other patterns.
Source Arno Gregorian
Remixed from a design seen in 'Burghley. The Life of William Cecil', William Charlton, 1857. The tile this is based on can be had by selecting the rectangle in Inkscape and using shift+alt+i.
Source Firkin
From a design found in 'History of the Virginia Company of London; with letters to and from the first Colony, never before printed', Edward Neill, 1869.
Source Firkin
A new one called white wall, not by me this time.
Source Yuji Honzawa
Small gradient crosses inside 45-degree boxes, or bigger crosses if you will.
Source Wassim
You just can’t get enough of the fabric patterns, so here is one more for your collection.
Source Krisp Designs
Seamless pattern made from a tile that can be obtained in Inkscape by selecting the rectangle and using shift+alt+i.
Source Firkin
This one could be the shirt of a golf player. Angled lines in different thicknesses.
Source Olivier Pineda
A seamless pattern formed from a tile made from page ornament 22. To get the tile, select the rectangle in Inkscape and use shift+alt+i.
Source Firkin
Seamless Prismatic Quadrilateral Line Art Pattern No Background
Source GDJ
Not even 1kb, but very stylish. Gray thin lines.
Source Struck Axiom
Used correctly, this could be nice. Used in a bad way, all hell will break loose.
Source Atle Mo
Continuing the geometric trend, here is one more.
Source Mike Warner
This is a remix of "geometrical pattern 01".
Source Yamachem
Small dots with minor circles spread across to form a nice mosaic.
Source John Burks
A free seamless background pattern for use on websites.
Source V. Hartikainen
You know I’m a sucker for these. Well-crafted paper pattern.
Source Mihaela Hinayon
A huge one at 800x600px. Made from a photo I took going home after work.
Source Atle Mo
Light gray version of the Binding pattern that looks a bit like fabric.
Source Newbury
This ladies and gentlemen, is texturetastic! Love it.
Source Adam Pickering
A background pattern with a look of rough fabric.
Source V. Hartikainen
Square design drawn in Paint.net and vectorized in Vector Magic.
Source Firkin