I don't recall robocop having abilities aside from being tough and shooting dudes. That should be doable. The basic setup you want is:
Born Rich
Optionally, In Debt. Since you will upgrade primarily with money, though, this will hurt you longterm and I'd be careful about it.
Genetic Heritage: Adapsin (if your GM will let that fly), or Genetic Optimization (probably Body or Agility, depending on your priorities: this allows you to customize higher). Reakt and Synch are also good but GenOp is more expensive so should be what gets Heritaged, you can get the others later.
Biocompatibility: Cyberware.
Optional: Restricted Gear (if your GM will let you RG adapsin, but not Genetic Heritage it, go for that).
Get yourself a cybertorso/arms/legs. Use Customize up to the availability limit (12), and then get Enhancements. Make sure you leave space for Armor 4 wherever you can (even though you can only start with 2, the upgrade is very cheap).
I am going to recommend you pick Automatics as your weapon skill because it synergizes well with the cyberlimbs route; you can get 5 RC out of cyberlimb accessories which is very nice. IIRC robocop uses a pistol, but in 2073 he can use a machine pistol and a battle rifle or what-have you.
Don't fall into the trap of trying to get the same stats on every limb. You want the sum of the body scores to be a multiple of 5, you want high Agility on arms, and decent agility on legs doesn't hurt for Infiltration, but you probably don't care how agile your torso is. Strength doesn't really matter, although you might want to at least put strength enhancements on your legs for Athletics.
The other really good stuff that fits what you want to do:
Cyberarm Gyromount and Foot Anchors give you bonus recoil compensation.
If your GM will agree that a machine pistol is pistol-sized, there are a few different options for places to hide your pistol. Cyberguns suck, don't bother (they use Exotic Weapon).
You're going to want Synaptic Boosters 1 for your IP-booster to start. There's no real way to get more than that without shafting yourself in some other major way.
Wear goggles/glasses/contacts/etc for your vision enhancement; cybereyes/ears are very iffy in general and just flat out awful on an essence-limited character like this.