Seamless pattern the basic tile for which can be had by selecting the rectangle in Inkscape and using shift+alt+i.
Source Firkin
From a drawing in 'Line and form', Walter Crane, 1914.
Source Firkin
The unit cell for this seamless pattern can be had in Inkscape by selecting the rectangle and using shift+alt+i.
Source Firkin
A seamless texture traced from an image on opengameart.org shared by Scouser.
Source Firkin
More in the paper realm, this time with fibers.
Source Jorge Fuentes
Never out of fashion and so much hotter than the 45º everyone knows, here is a sweet 60º line pattern.
Source Atle Mo
White fabric looking texture with some nice random wave features.
Source Hendrik Lammers
Remixed from an image that was uploaded to Pixabay by KirstenStar
Source Firkin
Prismatic Geometric Pattern Background 2 No Black
Source GDJ
Fabric-ish patterns are close to my heart. French Stucco to the rescue.
Source Christopher Buecheler
Some more diagonal lines and noise, because you know you want it.
Source Atle Mo
Heavy depth and shadows here, but might work well on some mobile apps.
Source Damian Rivas
Prismatic Triangular Background Design Mark II 5
Source GDJ
A nice and simple gray stucco material. Great on its own, or as a base for a new pattern.
Source Bartosz Kaszubowski