I'm not much about mini-lathes, so take this for what it's worth. Many mini-lathes and micro-lathes have shortcuts or shortcomings that larger lathes don't. I do understand the space requirements put a limit on the footprint of what you buy...
Recently in our area a Hardinge became available for 2700 - Kanikustan pesos... it is the second in 3 years. That would be the ultimate in accurate, functional lathe for all your needs, and some larger future ones...
Stefan Gotteswinter recently went to and [Edit: Emco, not Enco] lathe, which might be a great example of an accurate but smaller lathe.
Good luck on your search!