All good answers here.
I don’t know what skills are available for Alpha Clones since CCP has changed them again.
However I will say that even if you’re not logging into the game very often, it’s a good idea to have your character training skills as an Omega Clone for faster character development. It will improve your ability to play the game much more easily, not to mention give you more game play options to indulge in.
Getting the Core Fitting Skills trained up asap will allow you to easily fit up ships which in turn allows you to enjoy the game.
Core Fitting Skills
Acceleration Control - To maximize Afterburner & MWD speed.
Advanced Weapon Upgrades - To reduce turrets and launchers powergrid need.
Afterburner - To reduce Afterburner duration & capacitor need.
Capacitor Management - To maximize Capacitor.
Capacitor Systems Operation - To maximize capacitor recharge rate.
CPU Management - To maximize CPU.
Electronics Upgrades - To reduce sensors & co-processors CPU requirements.
Energy Grid Upgrades - To reduce power modules CPU requirements.
Evasive Maneuvering - To increase acceleration & agility.
Fuel Conservation - To reduce Afterburner capacitor need.
High Speed Maneuvering - To reduce MWD capacitor need.
Hull Upgrades - To maximize armor.
Mechanics - To maximize structure.
Navigation - To increase ship velocity.
Power Grid Management - To maximize powergrid.
Repair Systems - To operate best armor/hull repair modules.
Shield Management - To maximize shield.
Shield Operation - To maximize shield recharge rate.
Shield Upgrades - To reduce shield upgrades powergrid need.
Spaceship Command - To increase ship agility.
Warp Drive Operation - To reduce capacitor need for warp.
Weapon Upgrades - To reduce turrets and launchers CPU need.
These are listed in alphabetical order only, which skill to train first depends on your needs.
I suggest taking them up to level 3 to start, then work on maxing them asap. Don’t forget to include the other main / support skills such as specific ship class, defensive, offensive and career based skills. Don’t just queue up one skill to train multiple levels, queue up multiple skills to train up one level each, that way you’ll be able to easily play the game much sooner.
Good luck to you, may you have a long and rewarding career here.