Favorite glue, the only glue that does the job for me anyway: Neutral pH Adhesive, archival quality by LINECO. It is "permanent, dries clear and remains flexible".
I don't understand what you mean by 'paste and glue British way'! (And I'm British.)
I must have used paste brushes in my British 1950s childhood, but in the 1960s was introduced to Cow Gum, which I fell in love with. That was always used with a plastic spatula-like thing, and I have smaller versions of those which I now use with liquid PVA.
However, I recently brought a tin of the Italian adhesive, 'Coccoina', and it has a small brush with it! I tried it - and went straight back to the small plastic spatula-like tool! Sorry ... 'adhesive spreader'!
I almost always use Pritt Stick, but for things larger than around A6 I use the 3M Spray Mount (repositional) though art course tutors tell me I'm damaging my lungs however carefully you use a spray booth set-up. It does give such a good smooth finish! Sometimes I use a liquid PVA I bought for book-making, but find it difficult not to end up with buckled paper even when I leave things to dry under a weight.
I love YES! paste. It doesn't make paper buckle and, if it dries up, you can spritz on water and it comes back to life.
Golden GAC 100 has been my preferred glue for most circumstances for about 20 years.
I also use the Golden Gel pastes for things that are heavier and need a stronger bond.
Sometimes I use a spray glue, Elmers does a good one available in U.S.
Recently I started using a specialty paste-like glue that is from Japan and made specific for origami paper (Yamato Nori Rice sticking paste). It can be found in shops that specialize in origami paper and supplies - which I realize outside of Japan or San Francisco and Los Angeles, might be harder to find.
Currently I am in Mexico where I just finished a large scale art piece, I ran out of GAC 100 and had to supplement it with a local glue. I liked it so much, I am taking an extra bottle home to SF. It's like a heavy-duty version of Elmers - Pegamento Resistol 850.
Thank you for the Golden GAC 100 recommendation! I can't wait to try some.
This guy uses it on Cartón Board: https://www.youtube.com/watch?v=rVSLFK2MNpE
i use elmers 2 part and one part wood glue, the way I figure paper was wood so it should hold. I send naked mailart in the form of postcards daily. I Have very rarely have comments about condition of the cards received.