View the secret alien
Obtain your trusty whip and any items you can get for free from the Marketplace
Obtain the timepiece
Collect the Ankh
Collect the Chai
Get the shovel
Play the Magic Flute
Find a use for your grenade
Use your parachute at the Mesa Side (where a tree sticks out from the cliff)
Make your way through the gap to reach the dig site below the mesa
Discover the location of The Ark using the Staff of Ra
Find the Ark
Obtain the hourglass
Reach the Temple Entrance without using the Grenade
Find a way to escape from a dungeon cell in the Room of the Shining Light without breaking the wall or using an item to warp
In a single run, get the Ankh to spawn in the Treasure Room at three different times of day without the Chai or Hourglass spawning
Warp yourself to the Black Market from the Marketplace, maybe the flute salesman knows the way
Pacify the Raving Lunatic of the Black Market by giving him something
Get an item back from a thief
Purchase from every shop without reentering the Temple's Treasure Room
Cross the entire Mesa Field from the Marketplace to the Map Room or vice versa using the Hourglass
Find the Ark and clear the entire game without dying
Find the Ark and clear the entire game while only entering the Temple once
Find the Ark and clear the entire game while only holding a max of 4 items at once
Find the Ark and clear the entire game in under 10 minutes from leaving the title screen
Find the Ark and see the Yar's Revenge Easter egg with a high enough score to get a special message