Heavy depth and shadows here, but might work well on some mobile apps.
Source Damian Rivas
A repeating background for websites with a texture of black groove stripes.
Source V. Hartikainen
A seamless texture traced from an image on opengameart.org shared by Scouser.
Source Firkin
A very slick dark rubber grip pattern, sort of like the grip on a camera.
Source Sinisha
Submitted by DomainsInfo – wtf, right? But hey, a free pattern.
Source DomainsInfo
A background pattern with a look of rough fabric.
Source V. Hartikainen
The act or state of corrugating or of being corrugated, a wrinkle; fold; furrow; ridge.
Source Anna Litvinuk
This was formed by distorting an image of a background on Pixabay.
Source Firkin
From a drawing in 'Art Embroidery', M.S. Lockwood and E. Glaister, 1878.
Source Firkin
A pattern drawn in Paint.net and vectorized in Inkscape.
Source Firkin
Number 3 in a series of 5 beautiful patterns. Can be found in colors on the submitter’s website.
Source Janos Koos
A frame using leaves from an image that was uploaded to Pixabay by mayapujiati
Source Firkin
Remixed from a PNG that was uploaded to Pixabay by gingertea
Source Firkin
It looks like a polished stone surface to me. Download it for free, as always.
Source V. Hartikainen
To get the tile this is based on, select the rectangle in Inkscape and use shift-alt-i.
Source Firkin
Alternative colour scheme for the original floral pattern.
Source Firkin
Here's an yet another seamless note paper texture for use as a background on websites.
Source V. Hartikainen
Utilising a bird from s-light and some flowers from Almeidah. To get the unit tile, select the rectangle in Inkscape and use shift-alt-i.
Source Firkin
Looks like an old rug or a computer chip.
Source Patutin Sergey
Seamless pattern formed from a square tile that can be retrieved in Inkscape by selecting the rectangle and using shift-alt-i.
Source Firkin