Heavy depth and shadows here, but might work well on some mobile apps.
Source Damian Rivas
Sort of like the Photoshop transparent background, but better!
Source Alex Parker
Recreated from a pattern found in 'Az Osztrák-Magyar Monarchia irásban és képben', 1882. To get the tile this is based on select the rectangle in Inkscape and use shift+alt+i.
Source Firkin
To get the tile this is based on, select the rectangle in Inkscape and use shift+alt+i.
Source Firkin
From a drawing in 'Line and form', Walter Crane, 1914.
Source Firkin
One more brick pattern. A bit more depth to this one.
Source Benjamin Ward
A bit of scratched up grayness. Always good.
Source Dmitry
Tiny little fibers making a soft and sweet look.
Source Badhon Ebrahim
Remixed from an image that was uploaded to Pixabay by KirstenStar
Source Firkin
Zero CC tileable grass texture, photographed and made by me. CC0
Source Sojan Janso
Not a pattern for fabrics, but one produced from a jpg of a stack of fabric items that was posted on Pixabay. The tile that this is based on can be had by selecting the rectangle in Inkscape and using shift+alt+i.
Source Firkin
Drawn in Paint.net and vectorised in Vector Magic
Source Firkin
Remixed from a design on Pixabay. To get the tile this is based on select the rectangle in Inkscape and use shift-alt-i
Source Firkin
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
Prismatic Abstract Geometric Background 4 No Black
Source GDJ
The name is totally random, but hey, it sounds good.
Source Atle Mo
Not sure if this is related to the Nami you get in Google image search, but hey, it’s nice!
Source Dertig Media
To get the tile this is made up from select the rectangle in Inkscape and use shift+alt+i.
Source Firkin
Colorful Floral Background No Black
Source GDJ
Adapted from a drawing in 'Line and form', Walter Crane, 1914.
Source Firkin