Also, the image filenames say a lot about the about the achievements:
Spyalectical Materialism: tf_heavy_uncover_spies

Permanent Revolution: tf_heavy_kill_while_spunup

Heavy Industry: tf_heavy_fire_lots
 
Communist Mani-Fisto: tf_heavy_kill_crit_punch

Redistribution of Health: tf_heavy_heal_medikits
 
Rationing: tf_heavy_kill_shotgun
 
Vanguard Party: tf_heavy_first_to_cap
 
Pushkin the Kart: tf_heavy_payload_cap_grind
 
Marxman: tf_heavy_kill_midair_minigun
 
Gorky Parked: tf_heavy_defend_control_point
 
Purge: tf_heavy_kill_capping_enemies
 
Lenin A Hand: tf_heavy_revenge_assist
 
Five Second Plan: tf_heavy_teleport_fast_kill
 
Photostroika: tf_heavy_freezecam_taunt
 
Konspicuous Konsumption: tf_heavy_eat_sandwiches
 
Don't Touch Sandvich: tf_heavy_kill_scouts
 
Borscht Belt: tf_heavy_kill_heavies_gloves
 
Iron Kurtain: tf_heavy_damage_taken
 
Party Loyalty: tf_heavy_defend_medic
 
Division of Labor: tf_heavy_assist_medic_large
 
Red Oktoberfest: tf_heavy_earn_medic_domination
 
Show Trial: tf_heavy_kill_taunt
 
Crime and Punishment: tf_heavy_kill_flag_carriers
 
Class Struggle: tf_heavy_kill_medic_pair
 
Soviet Block : tf_heavy_block_invuln_heavy
 
Stalin the Kart: tf_heavy_block_cart
 
Supreme Soviet: tf_heavy_receive_uber_grind
 
Factory Worker: tf_heavy_stand_near_dispenser
 
Soviet Union: tf_heavy_assist_heavy_grind
 
0wn the Means of Production: tf_heavy_clear_stickybombs
 
Krazy Ivan: tf_heavy_kill_underwater
 
Rasputin: tf_heavy_take_multi_damage
 
Icing on the Cake: tf_heavy_kill_dominated
 
Crock Block: tf_heavy_survive_crocket
 
Kollectivization: tf_heavy_assist_grind
EDIT:
Show Trial: tf_heavy_kill_taunt
 
Looks like heavy is going to have a killing-taunt too