Now, I'm no good at giving full, step by step guides. So this isnt all inclusive of what needs to be done.
I will say there are a number of tips to be known about this achievement.
1) You do NOT need to get all of the awards in 1 year despite the lack of pop from seemingly getting one of each. Once you see you have one of each from the yearly review, go to your hospital's financial overview and look at awards. The achievement triggers when it see's all 8 are awarded and this menu is different from the yearly review's.
2a) No Death Award's are tough but I recommend replaying the first level. Focus on the 4 primary health services. Pharmacy (Nurses), GP Office (Doctors), Ward(Nurses) ( General Diagnosis (Nurses) (Optional?).
2b) I assigned 2 nurse's or doctors to each specialty, honing in their skills with training and restricting them to ONLY that specialty. Example: 2 Nurses to the Ward with Ward I, Ward II, and Treatment at minimum. 2 Nurses to Pharmacy with Treatment and Pharmacy at minimum, 4 Nurses total so far, etc. Don't let them overlap jobs, just runs the risk of them failing since those training slots are precious.
3) Have, at most, 2 janitors and 2 receptionists. Try to get 1 to do everything, get all the training needed and make sure they move fast and repair fast. Assign the janitor to doing quick tasks exclusively. The Best Janitor Award and the Best Assistant Award is purely a numbers of game of doing the most tasks but you need to juggle this around their energy. Give them the most opportunities to empty Garbage, and Greet Guests respectively.
4) Abuse the quick save feature every few minutes. If you get a death, then you can reload real quick and redo it.
5) For the early half, before you get the needed trainings in for each staff, reject everything thats "cure x number of patients". You have nothing to prove the burden could harm your No Death Award.
In conclusion, I unlocked this with:
2 Pharmacy's both with the Rank 3 Upgrade installed on the machine
1 Ward with 6 Beds, and 2 nurses assigned to it constantly (The required and optional setting)
2 GP Office's with no less than 2 Doctors that know Diagnosis II and up.
1 Staff Room
2 De-Lux Clinic's Room with Rank 3 Machine's
1 Training Room
A bunch of plants (for the Janitor to water)
A few good nurses and doctors
No more than 2 Janitors and 2 Assistant's
Hope this is organized and easy to read, let me know if you have any questions.