Depends who you’re escaping from. Non-arrestable / domestics matters, I’d probably go to Ireland- reciprocal rights, freedom of movement, friendly population, large areas are very rural and peaceful anything a bit more serious probably southern Spain; English widely spoken, lots of cheap accommodation, again freedom of movement (atm), large ex-pat community so easier to be anonymous (although this can also work against you – been a lot of crime stoppers I tell garnered over the last few years) and good weather. Amsterdam and other cities in the Netherlands popular for similar reasons, the downsides there being you’ll be surrounded by scouse crims doing something similar so will probably return home sooner to avoid accents and casuals clothing.
Anything more serious, depends how much you can pay – Panama, Dubai seem to be popular – English widely spoken, good standards of living, centres for bent banking.
Or just turn off the mobiles and leave the internet and stay at home and don’t bother, as the great Norman Stanley Fletcher said, “ Before too long he’ll be Googie Withers again.”