After over a year of Playing the Vita/PS3 and now PS4 I finally got the Speedlunky Trophy.
I almost did not make it (clocked in at 7 minutes and 30 something seconds). I will thank Bananasaurus rex's world record runs for giving me the idea of running underneath olmec for an easy and quick pound (just enough space between olmec and the corners of the pit for you to survive.
I ended up completing it with Compass, Jetpack and Spike shoes (Spike shoes was a first floor, on the path crate, Compass and Jetpack were in the same store on 1-4, bought the compass stole the jetpack and did not look back). 1:15 mines, 2:15 jungle, 1:15 ice caves.
Got lucky in temple 1, Anubis was immediately towards the right of the starting location, and the door was right below him, so minimal thwomps (crush blocks). Bombed my way through temple 2, Temple 3 was quick as well. went into Olmec at 6:59.
Had to use a ton of ropes on Olmec to ensure that no monsters from his pounds got down that corner.
All that is left is to get Vlad's Cloak and get attacked by a lilith, and I will have every trophy.