Recommended skills for new players

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Below you will find some skillplans which include various skills. the idea is to provide a good starting point for new players who are interested in PvP or general combat. In order to use these skillplans you need to download the associated zip-file, extract the plans from those files (using 7zip or similar) and then import the skillplan into EVEmon.
Also keep in mind that the Eve University Skillbook Program provides most of these skills for free.

NB: The skill lists for both skillplans have been updated to reflect the changes in Kronos (June 2014), but the associated downloads have not.

Minimum recommended skillplan

In this plan you will find alot of different skills, ranging from shield and armor tanks, active and passive, to e-war skills, gunnery and missile skills, navigation skills ect. The idea is to provide all skills you need in order to be able to fly ALL races frigates somewhat effectively. Any character will have some of the skills included in this trained already, but there is a good chance that you're missing at least a few of them. So you could just import this plan into EVEmon and see what you are missing. Also, if you want to, you could of course ignore specific skills (if you plan on only flying armor tanked ships you could ignore the shield skills for example). Once you trained all skills in this plan you should be able to fly all T1 frigates in all roles quite well. At that point you can try out different things, see if you find something you really like to do and then focus on that.
You can download the minimum skillplan here

All skills in the minimum plan

Armor EM Armor Compensation Explosive Armor Compensation Hull Upgrades Kinetic Armor Compensation Mechanics Repair Systems Thermic Armor Compensation Drones Drones Light Drone Operation Electronic Systems Electronic Warfare Frequency Modulation Long Distance Jamming Propulsion Jamming Sensor Linking Target Painting Weapon Disruption Engineering Capacitor Emission Systems Capacitor Management Capacitor Systems Operation CPU Management Electronics Upgrades Energy Grid Upgrades Power Grid Management Weapon Upgrades Gunnery Controlled Bursts Gunnery Motion Prediction Rapid Firing Sharpshooter Small Energy Turret Small Hybrid Turret Small Projectile Turret Surgical Strike Trajectory Analysis Missiles Auto-Targeting Missiles Light Missiles Missile Bombardment Missile Launcher Operation Missile Projection Rapid Launch Rockets Target Navigation Prediction Navigation Acceleration Control Afterburner Evasive Maneuvering Fuel Conservation High Speed Maneuvering Navigation Warp Drive Operation Science Science Shields Shield Compensation Shield Management Shield Operation Shield Upgrades Tactical Shield Manipulation Spaceship Command Amarr Frigate Caldari Frigate Gallente Frigate Minmatar Frigate Spaceship Command Targeting Long Range Targeting Signature Analysis Target Management

Advanced recommended skillplan

In this plan you will find all the skills that are in the minimum plan, but most of them trained to a higher level and also some additional skills that are not in the minimum skillplan at all. The idea for this plan is to provide a solid skillset to be able to fly all races T1 frigates very efficiently, though not yet maxed out. Training all these skills will take a much longer time but will provide a very good base from which you can move on into bigger and/or more specialized ships.
You can download the advanced skillplan here

All skills in the advanced plan

Armor EM Armor Compensation Explosive Armor Compensation Hull Upgrades Kinetic Armor Compensation Mechanics Repair Systems Thermic Armor Compensation Drones Light Drone Operation Drone Durability Drone Interfacing Drone Navigation Drone Sharpshooting Drones Advanced Drone Avionics Salvage Drone Operation Electronic Systems Electronic Warfare Frequency Modulation Long Distance Jamming Propulsion Jamming Sensor Linking Signal Dispersion Signal Suppression Signature Focusing Target Painting Turret Destabilization Weapon Disruption Engineering Capacitor Emission Systems Capacitor Management Capacitor Systems Operation CPU Management Electronics Upgrades Energy Grid Upgrades Nanite Interfacing Nanite Operation Power Grid Management Thermodynamics Weapon Upgrades Gunnery Controlled Bursts Gunnery Motion Prediction Rapid Firing Sharpshooter Small Energy Turret Small Hybrid Turret Small Projectile Turret Surgical Strike Trajectory Analysis Missiles Auto-Targeting Missiles Guided Missile Precision Light Missiles Missile Bombardment Missile Launcher Operation Missile Projection Rapid Launch Rockets Target Navigation Prediction Warhead Upgrades Navigation Acceleration Control Afterburner Evasive Maneuvering Fuel Conservation High Speed Maneuvering Navigation Warp Drive Operation Rigging Armor Rigging Astronautics Rigging Drones Rigging Electronic Superiority Rigging Energy Weapon Rigging Hybrid Weapon Rigging Jury Rigging Launcher Rigging Projectile Weapon Rigging Shield Rigging Science Science Shields Shield Compensation Shield Management Shield Operation Shield Upgrades Tactical Shield Manipulation Spaceship Command Amarr Frigate Caldari Frigate Gallente Frigate Minmatar Frigate Spaceship Command Targeting Long Range Targeting Signature Analysis Target Management

EFT characters

If you want to you can download these characters and import them into EFT. These characters will have all the skills of their associated skillplans as listed above. You could use these to see how training these skills would affect any ship setup you might have in EFT and also you can easily compare the effects of training up from the minimum plan to the advanced plan.
You can download these EFT characters here