I just got caught up on the outcry over the issues in Croydon, really sad to hear as it would be nice to have this in my home town.
Croydon overall is actually a nice place, got a lot of rude, expectant aresholes there (I should know, i live right near the high street) but the most you really have to worry about is dickhead kids after school and drunks on a Friday night.
I will say however that while im sure the arcade would be no problem at all, arcades do have a bit of a bad rep as they did end up becoming dark, dangerous places that often had dealers there. Hell i got attacked when i was in year 6 of school at my local arcade at the time (Mega Bowel in Streatham Hill). Just some random young group of shit stains who started on my for no reason and one ended up hitting me repeatedly (he would have been in year 9/10 at the time) so i came out pretty badly with one of my front teeth knocked out, another dislodged, blood everywhere and it left me pretty shaken for quite a long time.
As i said im sure this place would be different, i believe it was to be located at the top floor of Central shopping centre which is a nice, bright place but i do understand a little why some might have an issue with the arcade.
Also Croydon is only like 19 minutes from London Victoria if you get the fast train from East Croydon.