I would say that a lot depends on what you need the rope to do on what kind of model, which is not very clear from your question.
However, without knowing the specifics, of all the types of ropes I have come across that are currently commercially available, I have two absolute favourites.
The first is the traditional, laid natural fibre (linen/cotton mix) miniature rope (hand)made and sold by the Syren Ship Model Company in the US (**LINK**). This product is superior by many a country mile to the stuff sold by Amati and the likes, and (given the outstanding quality) surprisingly affordable. Their .062" (1.57 mm) tan rope for example sells for $5.75 per ten feet, the p&p charge is reasonable and delivery is quick enough. The only slight drawback that I've found is that it is laid with four strands rather than three, which complicates splicing. Otherwise it is wonderful stuff! Although primarily intended for static scale models, it will do work as well, has very little stretch as far as I've been able to notice, and is not in the least fluffy or hairy.
If a slicker rope with a higher breaking strain is needed, I really like dyneema rope! Nylet (**LINK**) sells a lovely 1 mm diameter white dyneema rope (their article #N633) that, although obviously synthetic (it is white, for a start) is nicely round, as a rope should be (unless e.g. most dacron lines I've seen, which have an oval cross section), and although woven rather than laid still looks quite ropey, if you see what I mean … ?! This is very strong stuff, too, with a +/- 70 kg breaking point.
You can see both of these ropes in use in the rigging of my ongoing Moonbeam build here on the forum, from about p. 32 of the thread: **LINK**. There's also a third rope there, which I think would answer your needs quite nicely — a tan synthetic line that I've used for the shrouds and stays. However, I'm afraid I've no idea what kind of line that is, as it came with the kit without any further explanation of material or where more of it might be sourced from.
Mattias
Edited By Banjoman on 22/09/2017 13:02:55