Grass Volleyball Shoes
Best ones are often baseball (and some soccer) turf shoes. Soccer ones don't have as much ankle protection or shock absorbing midsoles. The baseball shoes feel a bit more like running shoes than the soccer shoes do. Some trail running (New Balance Arishi V1, etc. have decent traction as well, but usually not as aggressive as these.)
I have Nike Zoom Trouts, some Air Maxes, Adidas Speed Trainer 3, and some older New Balances.
Boombah tends to be a more affordable brand, though you can find clearance or used shoes from the major brands for <$65, sometimes as low as $35 (used).
Nike
Typically "Force Zoom Trout Turf" and "Alpha Huarache Turf" models are good baseball shoes
"Mercurial Superfly TF", "Tiempo TF", "Phantom TF" are good soccer shoes, but probably less
https://www.nike.com/t/force-zoom-trout-ltd-turf-mens-baseball-shoes-rtrDfG/CZ5916-102
https://www.nike.com/t/alpha-huarache-elite-3-turf-baseball-shoes-CQdP8t/CK0748-400
https://www.nike.com/t/mercurial-superfly-8-academy-tf-turf-soccer-shoes-NrdHtk/CV0953-760
https://www.nike.com/t/tiempo-legend-9-club-tf-turf-soccer-shoe-8lrbXd/DA1193-403
https://www.nike.com/t/phantom-gt2-academy-dynamic-fit-tf-turf-soccer-shoe-PDzzf7/DC0802-008
Adidas
https://www.adidas.com/us/adizero-afterburner-turf-shoes/FV9414.html
https://www.adidas.com/us/copa-sense.3-turf-shoes/GW4965.html
https://www.adidas.com/us/predator-freak.3-turf-shoes/FY1038.html
https://www.adidas.com/us/predator-edge.3-turf-shoes/GW9999.html
https://www.adidas.com/us/copa-sense.1-turf-shoes/GW4951.html
New Balance
https://www.newbalance.com/pd/fuelcell-4040-v6-turf-trainer/T4040V6-35599.html
https://www.newbalance.com/pd/fresh-foam-3000-v5-turf-trainer/T3000V5-31210.html
https://www.newbalance.com/pd/fresh-foam-950v3-field/MU950V3-34695.html
https://www.newbalance.com/pd/fresh-foam-950v3-field/MUM950V3-34694.html
Under Armour
Mizuno USA
https://www.mizunousa.com/us/product/softball-mizuno-ambition-as/320595
https://www.mizunousa.com/us/product/baseball-mizuno-dominant-as-mid/320564
https://www.mizunousa.com/us/product/baseball-mizuno-dominant-as-knit/320628
https://www.mizunousa.com/us/product/softball-mizuno-ambition-as-2/320632
Mizuno Japan
Asics Japan
https://www.asics.com/jp/ja-jp/neorevive-tr-2/p/1123A015-008.html?width=STANDARD
https://www.asics.com/jp/ja-jp/ds-light-tf-sl/p/1101A023-001.html?width=WIDE
Boombah
Salomon, Tecnica, and Other Trail Runners
https://www.salomon.com/en-us/shop/sports/trail-running/shoes.html
https://www.amazon.com/s?rh=n%3A7141123011%2Cp_4%3ATecnica&ref=bl_sl_s_sh_web_7141123011
Stores to Check Out
https://www.eastbay.com/category/sport/baseball/mens/shoes.html
https://www.baseballmonkey.com/footwear/mens-footwear/baseball-turf-shoes.html