Chester i2018 inventories are now on the website. https://www.chesterzoo.org/corporate-information/annual-reports/animal-inventory/
Paignton used to include inventories in a supplement to their Annual Report but that last one I've been able to find on their websites is for 2016: https://www.wildplanettrust.org.uk/wp-content/uploads/2019/05/WWCT-Supplement-2016.pdf These were produced when they were the Whitley Wildlife Conservation Trust. Now that they're the Wild Planet Trust all you seem to get (unless they're hidden somewhere) are finances, mission statements, advocacy and the like.