I often have good success with support Lux - mostly when laning with a poke-heavy ADC. My boyfriend and I like to go Ez + Lux.
I honestly don't get why
are or were all legit supports at some points but Lux isn't and people get their panties in a twist when I pick her. Like, wtf is your problem? Double snare, shield for the whole team, AoE slow that provides vision, AoE snipe that has decent base damage and provides vision, long range to safely poke in lane, passive made for poking.
Even the ult - what, you can accept Annie and Brand's ults, but not hers? You think I'll keep it to KS you? I'll blow it as soon as I bind them so they're an easy kill for you.
You're welcome.
Always get:
(pinks as needed ofc)
Items that I often work with (order and whether or not I get them depends on the game itself):

Struggling:
/
as needed to help the team,
because struggling means less gold, and less gold means less items, which means less CDR, and Lux has longish CDs
Winning this fucking game:
(if didn't build Crucible)