Screening trees - fast growing but not too big?!

[PullingMySocksUp]

Ideally I’d like something that grows really fast, to about 4m and then stops. So like eucalyptus or leylandii but self limiting. Ideally evergreen.
What’s the closest I might get?!

I’ve spent forever googling and not really got anywhere.

I’m not sure wher you want to put them, but Laurel grows in a tree like habit. I have them on my boundaries, they grow quickly and I have to prune them back twice a year.
Easily up to 4m, once established and easy to prune.

*where.

Do you actually want evergreen or do you mean something that screens year round? Beech for instance holds its leaves until the next season when used as a hedge. But if not trimmed would eventually turn into a tree, which would drop its leaves.