Ideally, this is one of the last achievements you need. I would recommend getting the rest first, as doing so will likely progress this achievement as well. Also, in case it is not clear, the achievement requires 10 ghosts of the type Ghost, not just any ghost.
1. Create a new profile from the main menu; this will not remove the original profile and you are safe to continue that whenever.
2. As new profiles only have 5 ghosts unlocked (Ghost, Wraith, Spirit, Yurei, Demon), it is far more likely to get Ghost in a mission. However, this strategy can be done on any profile but it requires more work finding the evidence. If you already have 8 or 9 Ghost banished, it might be faster to do it on that profile. Or not.
3. Start a mission at Little House on Easy difficulty. Personally I use Brady for walking speed and manufacturing speed, but it doesn't matter too much.
4. Activate Night Vision and run through the map. If you encounter a ghost orb or cursed object, immediately leave or quit to the main menu from the settings. Ghost does not have either as evidence, so it is an instant tell.
5. If there was no cursed object, select random behaviour, select Ghost, and craft shells for banishing Ghost (ingredient salt)
6. Place a rune down, and trigger the ghost by using the voices. If the rune gets destroyed, change behaviour and try again until you find the one that works. Banish the Ghost. Leave the map. Repeat until achievement is unlocked.
Notes / tips:
- This strategy prioritizes speed over everything. Doing it on a new profile will let you ignore reputation and money loss without impact on the main profile.
- There are a few easy-to-miss cursed objects, so be thorough when checking for them. The main two I have missed previously are: the flashlight under the telephone and the book on the master bedroom nightstand.
- As mentioned, Ghost is the only one of the 5 that does not have neither orb or object as evidence.
- Placing the movement sensors on the front door, the barrel in the hallway, and the kitchen door frame lets you track the ghost's movements and possible shoot it without it getting trapped in the rune.
- It takes a while. A failed run (due to object/orb) takes like a minute, and a successful one probably around 3-5. As the chance is 1/5, it stacks up.