Here is the full list of all 30 Doctor Who: The Edge of Reality achievements.
Disable three Reality Virus Transmitters
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.
You infiltrated the Dalek temple without getting caught once!
Get caught by a Weeping Angel
Free the painted lady
Add 10 pages to the journal
Find 10 collectable objects
View the Miniscope
You've made your way through the forest.
You explored the abandoned cave in the forest.
Add 5 pages to the journal
Find 5 collectable objects
Activate the UV torch
You've just taken an important step in achieving your destiny.
Smash more than 5 pots in Sir Manfred Grayle's home.
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 proved your genius by activating the laser core in under 5 minutes.
Find the ring in the Laundrette
Fill the Doctor's Journal
Find every collectable object