I've been working on figures for National Hunt racing now and with the Festival in mind, have taken the last 9 years worth of Cheltenham performances. This isn't going to produce any nuggets, after all, the best horses do generally win the best races.
Here are the best chase performances. What is notable is that Menorah's second to Champion Court in the 2013 Silver Trophy comes out as the best handicap performance, carrying 11st 10lb to a handicap rating of 171. Beating Frodon who had 169 and 168 performances.
The missing Gold Cup winners are Coneygree (166) RPR 178, Sizing John (164) RPR 171 and Lord Windermere (162) RPR 168.
Un De Sceaux (2015) produced the best novice chasing performance of 164, 1lb ahead of Shishkin's effort last year (163).
Here are the best hurdling performances.

Honeysuckle isn't in this list for the simple reason she gets a 7lb allowance in her win. She is the next cab off the rank though and if I added 7lb she would have had a 170.
The best handicap performance is a 161 by The New One, when 4th in the 2017 Greatwood. The best novice hurdler is Appreciate It with his 160 in last season's Supreme Novices.
Here are the best bumper performances. All of them in the Champion Bumper. My best Cheltenham non Grade 1 bumper is Timeforatune, last November, he produced a 109.

If there is a query over any Cheltenham performance since 2013, I am happy to offer a number.