Smooth Polaroid pattern with a light blue tint.
Source Daniel Beaton
Inspired by a pattern seen on a public domain image of a very old tile. To get the unit cell, select the rectangle in Inkscape and use shift+alt+i.
Source Firkin
Prismatic Rounded Squares Grid 4 No Background
Source GDJ
Retro Circles Background 7 No Black
Source GDJ
One more in the line of patterns inspired by Japanese/Asian styles. Smooth.
Source Kim Ruddock
Small gradient crosses inside 45-degree boxes, or bigger crosses if you will.
Source Wassim
Remixed from an image on Pixabay uploaded by Prawny
Source Firkin
Old China with a modern twist, take two.
Source Adam Charlts
Luxurious looking pattern (for a T-shirt maybe?) with a hint of green.
Source Simon Meek
Prismatic Curved Diamond Pattern No Background
Source GDJ
Lovely pattern with splattered vintage speckles.
Source David Pomfret
Cubes as far as your eyes can see. You know, because they tile.
Source Jan Meeus
Dark pattern with some nice diagonal stitched lines crossing over.
Source Ashton
Not a flat you live inside, like in the UK – but a flat piece of cardboard.
Source Appleshadow
Never out of fashion and so much hotter than the 45º everyone knows, here is a sweet 60º line pattern.
Source Atle Mo
Tile available in Inkscape using shift-alt-i on the selected rectangle
Source Firkin
Prismatic Geometric Pattern Variation 2 With Background
Source GDJ
A smooth mid-tone gray, or low contrast if you will, linen pattern.
Source Jordan Pittman
From a drawing in 'A Life Interest', Mrs Alexander, 1888.
Source Firkin
Number 1 in a series of 5 beautiful patterns. Can be found in colors on the submitter’s website.
Source Janos Koos
Derived from a drawing in 'Elfrica. An historical romance of the twelfth century', Charlotte Boger, 1885
Source Firkin
Here's a new paper-like background for free use on personal and commercial projects (this applies to all background patterns here).
Source V. Hartikainen
Prismatic Chevrons Pattern 5 With Background
Source GDJ
Seamless pattern the tile for which can be had by using shift-alt-I on the selected rectangle in Inkscape.
Source Firkin
An abstract Background pattern of purple twisty patterns.
Source TikiGiki