[11] In January 2011, he recorded his largest cash at the time with a 3rd place finish in the $100,000 No Limit Hold'em - Super High Roller Event at the PokerStars Caribbean Adventure for $643,000.

[13] In January 2015, he earned $873,880 for a 3rd place finish in the $100,000 #1 No Limit Hold'em - Super High Roller 8 Handed Event at the PokerStars Caribbean Adventure.

[20] In April, he won the € 100,000 No Limit Hold'em - Super High Roller Eight Max Event at the PokerStars Championship in Monte Carlo for €1,784,500.

[25] At the 2019 Triton Poker Super High Roller Series in Montenegro, he recorded three consecutive seven-figure cashes with two victories and a runner-up finish totaling over $7,200,000.

[26][27][28] In August 2019, after placing 2nd to Aaron Zang in the £1,050,000 No-Limit Hold'em - Triton Million for Charity Event, Kenney received the largest single payout in live poker tournament history of £16,890,509 ($20,563,324).

[32] In August 2023, at the Triton Poker Super High Roller Series in London, Kenney won the $250,000 Luxon Invitational for $6,860,000.