I know Dunham Park has a few. Trouble is, the visitors like them & there would be an outcry if they were culled; also Tatton Park, Wallasey Vale Park, Mobberley, Padiham (E Lancs)
If there were a campaign of culling, the advantage is that they're communal
This might be a controversial topic, but it would be interesting to see what other birders think about Ring-Necked Parakeets (=Rose-Ringed Parakeet)
There are some 30,000 throughout the UK, with the vast majority in Surrey, but small populations throughout including an expanding population in S Manchester nudging into N Cheshire. They're charismatic birds - until you consider their ecological threat. They compete successfully for nest holes with total disregard for native hole-nesting species of bird & bat. They belong in the Indian Subcontinent, with 2 ssp across Africa
My view is that this non-native species should be removed from this region while it's still practicable