From The TimeSplitters Wiki

Escape from NeoTokyo
IMAGE NEEDED
Game	TS2
Section	Infiltration
Map	NeoTokyo Streets (NeoTokyo police patrolarea, jump down from start of story level)
Character	(Unknown)
Enemies Encountered	Lightspot Cameras (Not personal enemies)
Rewards	(Medal unknown): Big Ears hat
Medal Requirements	(Unknown)

Escape from NeoTokyo is one of easiest challenges, because all you have to do is get to same place you have to go in end of NeoTokyo story level, but unseen by Spotlight Cameras.

Briefing

Strategy

Well this actually don't need any strategy told, just do all same like you do NeoTokyo on normal difficulty, when you have to go that way after killing Sadako. If you get busted, you lose. Just dodge the Spotlight Cameras until you reach end of NeoTokyo level.