Which frigate in Eve has the fastest sub-warp speed after fittings and skills?

The Dramiel is the fastest Frigate in EVE.

The Claw is the fastest of the Interceptor group, but a Dramiel running an MWD is faster because of its lower mass, since MWD speed boost is affected by ship mass.

Things that affect speed are

• Base speed of ship
• Low slots (using Overdrive Injector II¹)
• Mid slot (using one 1MN MicroWarpdrive II)
• Rigs (using Small Auxiliary Thrusters II¹)
• Navigation Skill
• Acceleration Skill (when using the MWD)
• Ship mass (when using MWD)
• Implant bonuses (e.g. the Snake Set)²
• Leadership and Gang Assist bonuses²

Here's a table with the calculated speeds (base ship speed, max fitted/rigged and MWD, each without skill bonus and finally with all skills at level V³):

Here are the results as CSV. They were calculated from a subset of the CCP database export with this Python script, using the speed formulas from the top speed calculation guide and the Aenigma formula for bonus stacking penalties. Some calculated speeds were cross-checked against Pyfa.

¹ The speed bonuses from the Overdrive modules and Rigs are subject to severe stacking penalties, making it fairly useless to cram more than 2-3 of these in your ship in total. However for the purpose of finding the fastest ship it was assumed that all ships had their low slots full of Overdrive modules and their Rig slots full of Auxiliary Thrusters. This is not a sensible build to fly around in though.

² These bonuses affect the velocity directly and therefore don't matter for a ship comparison. They were not taken into account here.

³ Due to neither implants nor Leadership/Gang bonuses being applied, this is not the fastest these ships can go.

The fastest T1 Frigate is Pumisher with 50MN (medium-size) MWD This will be 8136 m/s (11954 m/s hot) for omega clone and 7224 m/s (10596 m/s hot) for alpha clone, assuming no drug, no boosters, no implants and only meta or T2 modules

[Punisher, F: cap-stable, $7.5M]

Overdrive Injector System II
Capacitor Power Relay II
Capacitor Power Relay II
Micro Auxiliary Power Core I
Micro Auxiliary Power Core I

50MN Cold-Gas Enduring Microwarpdrive
Cap Recharger II

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Small Ancillary Current Router I
Small Ancillary Current Router I
Small Ancillary Current Router II