Here's a few working character builds:

Specializing in one or 2 gun types is the most straightforward way to do things. Your starting 9mm pistol is a relatively good weapon and come with a fair amount of ammunition.

You don't need much Strength except for carrying loot, but Agility is mostly irrelevant to this build as you won't pick a lot of locks. And more to the point, combat skills are easy to increase and have only a small influence on your accuracy, so you can counter your low agility with the lockpicking skill (which has synergy with your high Perception.

* Stats
  * Strength : 7
  * Agility : 8
  * Perception : 16
  * Endurance : 14
  * Charisma : 10
* Skill Set - Combat: Mix one short range weapon skill with a long range weapon skill.
  * Shotgun : 200
  * Rifle : 200
  * Stealth : 100 
* Skill Set - Robber
  * Handgun : 100
  * Lockpick : 300
  * Stealth : 100

Melee is cheap, you can allocate a fair amount of skill point to Stealth. All you will need is a good combat knife. Don't forget to corner your target and use the sprint command, otherwise you'll never be able to finish your enemies. Also, don't expect to charge a hostile shotgun equipped cop and be victorious from the start.

* Stats
  * Strength : 17
  * Agility : 14
  * Perception : 5
  * Endurance : 14
  * Charisma : 5
* Skill Set - Pure Melee
  * Melee : 350
  * Stealth : 150
* Skill Set - Robber
  * Lockpick : 400
  * Stealth : 100

Thieves have good odds against safes and are decent pick-pockets, however they don't last very long during a combat. A high charisma allows them to get discounts in stores and pawn shops.

* Stats
  * Strength : 6
  * Agility : 15
  * Perception : 14
  * Endurance : 7
  * Charisma : 13
* Skills
  * Lockpick : 350
  * Stealth : 150