Here is the full list of all 30 Doctor Who: The Edge of Reality achievements.
Disable two Reality Virus Transmitters
Disable one Reality Virus Transmitter
Complete the CyberShip
Free the Doctor from the CyberShip
Disable a Cyberman with a Cybermat
Hijack the Cybertower transmat
Find the severed Cyberman head
You saved the universe from the Reality Virus!
You would make a good Dalek.
Free the painted lady
Smash more than 5 pots in Sir Manfred Grayle's home.
Find 10 collectable objects
View the Miniscope
Add 10 pages to the journal
You proved your genius by activating the laser core in under 5 minutes.
You've made your way through the forest.
You explored the abandoned cave in the forest.
Activate the UV torch
Find 5 collectable objects
Add 5 pages to the journal
You've just taken an important step in achieving your destiny.
A broken pillar is no match for your throwing arm.
You got caught by the Daleks more than 10 times.
You managed to figure out the code to the safe in less than 60 seconds!
You infiltrated the Dalek temple without getting caught once!
Get caught by a Weeping Angel
Disable three Reality Virus Transmitters
Find the ring in the Laundrette
Fill the Doctor's Journal
Find every collectable object