Here is the full list of all 40 VASARA Collection achievements.
Finish one Wave in Timeless Mode with Akechi Mitsuhide
Finish one Wave in Timeless Mode with Seiryubo
Kill 100 Tanks in Timeless Mode
Kill 200 Helicopters in Timeless Mode
Finish one Wave in Timeless Mode with Sanada Yukimura
Kill Ii Naomasa and Sakakibara Yasumasa in Timeless Mode
Kill Oda Nobutada in Timeless Mode
Kill Kanamori Nagachika in Timeless Mode
Finish one Wave in Timeless Mode with Saika Magoichi
Kill Maeda Toshinaga in Timeless Mode
Kill 200 Spiders in Timeless Mode
Finish one Wave in Timeless Mode with Takeda Nobukatsu
Kill Honda Tadakatsu in Timeless Mode
Finish any Stage without using melee attacks
Fill your first Vasara Gauge
Reach maximum fire power
Finish any Stage without using a Vasara Attack
Defeat your first Boss
Finish Vasara 1 by defeating Tokugawa
Finish Vasara 1 by defeating the REAL Tokugawa
Finish Vasara 2 on 6 Stages Rank Mode
Finish Vasara 2 on 12 Stages Rank Mode
Finish Vasara 1 and Vasara 2 with all base characters
Finish any Stage without killing any Commander
Finish one Wave in Timeless Mode with Shima Sakon
Finish one Wave in Timeless Mode with Saiga Magoichi
Finish one Wave in Timeless Mode with Momochi
Kill Serada Jirosaburo Motonobu in Timeless Mode
Kill Oda Nobunaga in Timeless Mode
Kill Shibata Katsui in Timeless Mode
Kill Tokugawa Ieyasu in Timeless Mode
Kill Sassa Narimasa in Timeless Mode
Kill 200 Bat Ships in Timeless Mode
Kill 100 Crabs in Timeless Mode
Kill 100 Samurai Helmets in Timeless Mode
Kill 100 Small Turrets in Timeless Mode
Kill 100 Big Turrets in Timeless Mode
Kill 100 Boats in Timeless Mode
Kill 500 Commanders in Timeless Mode
Unlock All Achievements