Which shore are you looking for? Most of the people on here are form the US, but some are from the UK too... 99.9% uptime is pretty standard these days, so any reputabe host offering that with an SLA should fit the bill.
It's always a good idea to write out your criteria, that'll help you narrow down a suitable candidate.
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you need to be more clear as to what you are looking for in the offshore hosting. And most importantly do you want to buy a shared/vps or dedicated.
It would be better if you give us an approx estimate of the specs you are looking at.
I need a offshore webhoster to be reliable ,good uptime , and with many years of service
Are you looking for an offshore host to have the server near your target customer area, or are you looking for an offshore host because you want to do something that might be illegal in some jurisdictions? I suggest that if you were more clear about your needs that you might get replies that are more helpful.