I went back a bit to include some important to canon threads, or just fun threads.

in which our heroine is fed up.Lucifer offers to take care of Penelope's (contrivings) suitor problem

Crash landing with a difference: Lucifer and Tony Stark (stark_ravingmad) meet.

Crowdsourcing Science! Lucifer and Liv (multiversal_science) talk about the concepts of duplicity

Lioness at the Gate Lucifer pilfers a bunch of winged kittens and Balthazar (tryingitall) gets to meet them

World Snake Day: Luci bring Leviathan and the snake brood of Chaos to the Plaza for sun bathing. Notably Rondo (coffee_elf) gets pet baby snakes and Lucifer helps Aal (delphicbooksandbaubles) overcome her fear of snakes

Jamming in the AfternoonLuci and Mantis (ginger_firebird) talk cooking and the nature of things

Return of the Blind NinjaLucifer helps Daredevil (he_put_the_devil_in_me) pick out a shirt and religious questions ensue

Fool on a cliff Luci meets Minoru (itmeanstruth)

For the Love of the Fathers Death (thnisko) seeks Balthazar (tryingitall) to help his father deal with his trauma. (Trigger warning for discussions of abuse and trauma)

Halloween party: Lucifer ran all around but most important Luci and Aziraphale (sohoangel) plot on how to make Moloch happy

Furiosa (eumenis) and Luci talk about children and fertility(some suggested discussion of trauma and child abuse)

Beelzebub (hesperussword) Directs Balthazar (angelic_asshole) to talk to Lucifer
Balthazar gets more relationship advice

Ziggy Stardust Nexus Album Release Party, important threads:
Balthazar (tryingitall) and Luci talk relationship limits and Luci introduces Balthazar to Tony (stark_ravingmad) Tony comforts Lucifer who is distraught and they go to dinner

Ben (chiaro_oscuro) Encourages Lucifer to meet with the Decepticons

Soundwave (soundwave_ascendant) and Luci talk about how leaders suck

Isamu (itmeanstruth) and Luci talk the finer points of research and the nature of angels.