I skipped number 3, because it wasn’t all that great. Sorry.
Source Dima Shiper
From a drawing in 'Sun Pictures of the Norfolk Broads', Ernest Suffling, 1892.
Source Firkin
Prismatic Abstract Geometric Background 2 No Black
Source GDJ
From a drawing in 'Les Chroniqueurs de l'Histoire de France depuis les origines jusqu'au XVIe siècle', Henriette Witt, 1884.
Source Firkin
This one needs to be used in small areas; you can see it repeat.
Source Luca
One of the few full-color patterns here, but this one was just too good to pass up.
Source Alexey Usoltsev
A pale orange background pattern with glossy groove stripes.
Source V. Hartikainen
The tile this fill pattern is based on can be had by using shift+alt+i on the rectangle.
Source Firkin
Looks like an old rug or a computer chip.
Source Patutin Sergey
Prismatic Geometric Pattern Background 2
Source GDJ
And some more testing, this time with Seamless Studio. It’s Robots FFS!
Source Seamless Studio
Paper model of a tetrahedron. Modelo de papel de um tetraedro.
Source laobc
8 by 8 pixels, and just what the title says.
Source pixilated
CC0 and a seamless pattern from a tile drawn in Paint.net .
Source SliverKnight
Drawn in Paint.net and vectorised in Vector Magic.
Source Firkin
No idea what Nistri means, but it’s a crisp little pattern nonetheless.
Source Markus Reiter
From a drawing in 'Cowdray: the history of a great English House', Julia Roundell, 1884.
Source Firkin
A repeating background with dark brown stone-like texture and abstract pattern that looks like tree trunks.
Source V. Hartikainen
Pattern #100! A black classic knit-looking pattern.
Source Factorio.us Collective
To get the repeating unit, select the rectangle in Inkscape and use shift+alt+i
Source Firkin