Homemade lathes, of both the wood and metal turning varieties, are a popular component of shops spanning a wide range of disciplines. These videos show lathes of each type and should provide a nudge in the right direction for those inclined to try their hand at building one.
Homebuilt Router Copier Lathe by ThisWoodwork
Homemade Lathe Pt. 1 by Michael Laffin
Homemade Lathe DIY by farias615
Home Made Lathe N.T by TasosNt44