Amon has a lot of cool skills in his trees which makes him very appealing, both in terms of gameplay changes, and potential damage boosts.
Note: After in-game testing is done post launch, the skills listed here are likely to be updated.
Calamity Skill Tree - Themed around close combat with your guns and action skills.
Gut Punch and
Maiming Strike - Grants a damage boost and reduces damage dealt by enemies.
Forged In Steel - Grants damage immunity.
Berserk - Gives cryo bonus element and slow immunity.
My Touch Is Death - Chance to activate kill skills from melee damage.
Rimebreak - A nova that instantly freezes enemies. Great for getting the melee damage boost vs frozen enemies, or just easy aggro relief for one point.
Into the Fray - Potentially a great damage boost.
Rearm - Regain ammo with a melee attack to promote a melee/gun hybrid.
Mortal Flare - Combine your weakness skills,
Gut Punch and
Maiming Strike, to deal a melee explosion on enemy kill.
Catastrophe and
Electrical Fire - Combine for constant crit chance and crit damage uptime.
Fists of Stone - Promote
Forgeskill spam.
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Vengeance Skill Tree - Focused around affinity skills which at base help your guns, but can also be used to deal more damage with melee, action skills, and ordnance. Very good for a do-it-all playstyle!
Tail of the Comet - Status Effect damage based on Ordnance damage dealt, enhancing your
Scourge damage or just any Ordnance.
Bullet Hail - Tons of ricochets with your guns.
Burning Rage - Fire Affinity. Use it to buff your guns DPS, action skill cycling, or for its tied skill.
Worldbreaker - Tied to
Burning Rage, promotes a fun melee slam playstyle. Combine with
Cooling Mantle to activate it even more.
Icy Rage - Cryo Affinity. Use to buff your guns or for its tied skill.
Winter's Kiss - Tied to
Icy Rage, promotes a playstyle with your Ordnance. Combine it with
Caroming Shard to get ricochet chance! Remember that
Scourge also counts as Ordnance damage.
Caroming Shard - Mentioned above with
Winter's Kiss, but should also work with
Bullet Hail for even more ricochets.
Thunderous Rage - Shock Affinity. Use to buff your guns and/or anything else that can crit, or to help with its tied skill.
Strike the Anvil - Tied to
Thunderous Rage, promotes a playstyle with your Action Skill. Combine it with
High Voltage for even more damage.
Smelter - Helps with your
Forgeskill uptime.
Blackout - Allows Ordnance to crit. It's especially good if there are any Ordnances that cannot naturally crit, though I'm not sure if the shock part will be any good.
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Cybernetics Skill Tree - Focused a lot on priming enemies for detonation and the forgedrones to help deal damage with you. Lots of explosions and potentially some companion like gameplay available!
Tempered Pyre - Cryo Melee Drone to help deal damage for you.
Twin Tempers - Add a second Drone to
Tempered Pyre, but this time in Fire with some reduced duration.
Bolt Action - Possibly a good bonus element with guns you reload often.
Tempered Ice - Cryo Melee Drone to help deal damage for you. Combine it with
Ordained Hammer for it to also deal Ordnance Damage, and add more formula to make it even better.
Endless Bombardment - Allows for more uptime on Ordnance Grenades and/or Heavy Weapons.
Blast Furnace - Potentially a great damage boost.
Tempered Lightning - Shock Melee Drone to help deal damage for you.
Honed Point - Combine with all of the drone skills to help spam your action skill more often. You do not need to be focused on drone damage to take advantage of this.
Reactive Armor - Potential for some great Ordnance spam in a
Crucible-focused Ordnance build.