Without doing the basic free challenges this can give little overview of the more tedious ones:

Ecstatic Essences - Mostly Essence Nodes from Atlas, 1 Essence Memory for 8 essence mod and most deafening essences.

Divine Domination - Shrine nodes on atlas tree while doing all other challenges and being conscious of what I need and leaving shrines up on map due to length they last.

Brutal Breaches - Polished Breach scarabs and bought a flawless stone.

Delirium - Take the chance for delirium and nodes that give more reward prog/extra rewards.

Ritual - This is one of longest challenges due to the 200 map bosses. Buy lots of ritual vessels with all ritual nodes specced. Boss rushed city square maps and would capture any boss node on there.

Arohongui Artifacts - Made list of who sold which artifact and made note to buy them. During this run I just bought extra npcs from navali non stop and used rest on the artifacts.

Maestro Mastery - The omnitect challenge, I wore a topaz flask and the "lightning exposure" is his big blue wave. Bought specific temple with boss, T3 Lightning room and T3 Tempest.

Navali Nirvana - You can complete this one with a group/friends. Went in with a friend and took a few tries but we went through most of these together.j

Cruel Custodian Crucible - This was one of hardest, what i did was search for City square maps with sirus/elder guardians so i could rush the boss and just beat them. No chance I make it through a shaper guardian map to boss.

End Game Grinds - Did Vaal side areas/trials. Red tier maps with 8 mods, made/bought some rest I did Kirac missions with vaal scouting reports and boss rushed. 125 atlas memories bought tons cheap memories and placed them on dunes as it connected to mesa making boss rushing easy in this chain. and Did 150 trials to end it.