Assuming the traditional basic factory tooling (centers, spindle sleeve, dogplate, change gears, wrench) in order of essential need . . .
1. A good light
2. 4-jaw chuck of approx 0.66 x your lathe swing.
3. DTI or wiggler
4. Tailstock drill chuck and arbor
5. Tool bit holder(s) including boring tool holder
6. Faceplate, largest that your lathe will swing
7. 3-jaw chuck of approx 0.66 x your lathe swing
8. Live center
9. Tailstock tap/die holder
10. A good oil
Aside from consummables (bits, drills, reamers, etc) everything else is useful, perhaps faster, but not essential.
1. A good light
2. 4-jaw chuck of approx 0.66 x your lathe swing.
3. DTI or wiggler
4. Tailstock drill chuck and arbor
5. Tool bit holder(s) including boring tool holder
6. Faceplate, largest that your lathe will swing
7. 3-jaw chuck of approx 0.66 x your lathe swing
8. Live center
9. Tailstock tap/die holder
10. A good oil
Aside from consummables (bits, drills, reamers, etc) everything else is useful, perhaps faster, but not essential.