ZeroCC tileable stone texture, edited from pixabay. CC0
Source Sojan Janso
A grid of squares with green colours. Since the colours are randomly distributed it is automatically seamless.
Source Firkin
Seamless Prismatic Pythagorean Line Art Pattern No Background. A seamless pattern that includes the original tile (go to Objects / Pattern / Pattern To Objects in Inkscape's menu to extract it).
Source GDJ
Prismatic Curved Diamond Pattern 6 No Background
Source GDJ
Sometimes simple really is what you need, and this could fit you well.
Source Factorio.us Collective
Nicely crafted paper pattern, although a bit on the large side (500x593px).
Source Blaq Annabiosis
Drawn in Paint.net and vectorised in Vector Magic.
Source Firkin
A grid of squares with green colours. Since the colours are randomly distributed it is automatically seamless.
Source Firkin
From a drawing in 'Line and form', Walter Crane, 1914.
Source Firkin
A nice looking light gray background pattern with diagonal stripes.
Source V. Hartikainen
A dark one with geometric shapes and dotted lines.
Source Mohawk Studios
Zerro CC tillable texture of stones photographed and made by me. CC0
Source Sojan Janso
Abstract Geometric Monochrome Pattern Prismatic No Background
Source GDJ
A dark pattern made out of 3×3 circles and a 1px shadow. This works well as a carbon texture or background.
Source Atle Mo
Derived from an image that was uploaded to Pixabay by Darkmoon1968
Source Firkin
A criss-cross pattern similar to one I saw mown into a sports field.
Source Firkin
A seamlessly tileable pink background texture.
Source V. Hartikainen
This was formed by distorting an image of a background on Pixabay.
Source Firkin
Seamless pattern made from a tile that can be obtained in Inkscape by selecting the rectangle and using shift+alt+i.
Source Firkin
Abstract Ellipses Background Grayscale
Source GDJ
A nice and simple white rotated tile pattern.
Source Another One
A background formed from an image of an old tile on the New York Metropolitan Museum of Art website. To get the base tile, select the rectangle in Inkscape and use shift-alt-i.
Source Firkin