Pretty much just look for a natural one. Most natural ones are SLS and SLES free. Burt's Bees, Giovanni, Jason's, Sevi Cosmetics etc.
All shampoo bars I have seen are CG.
Cleanser: Liquid Castile Soap diluted in a foaming soap dispenser
Rinse: ACV rinse
Detangler/Conditioner: Oyin Handmade Greg Juice or Juices and Berries
Stylers: Botticelli Botanicals Styling Mudd, KCCC, Honey Rinses and BRHG, Crack Leave-in Hair Cream when straightening
Tools: Silk pillowcase, Floursack towels, Jersey T-Shirts, Wide Tooth Comb, Velecta Paramount TGR-VQX Hair Dryer (for when I straighten) and BaByliss PRO Ionic Rollabout Hard Hat Dryer