I'll assume if you are looking for an Offshore VPS you are not an idiot, and you probably know what you are doing, so I am just going to lay out all the information you need to make this decision.

Why Offshore?

There are a few reasons you might want to host a website offshore. For example, if your site is about certain topics you may have problems hosting it on traditional hosts located in the US or UK. Mainstream hosts don't want the trouble associated with certain topics, so they don't allow them. These might include sites such as: Content that breaches copyright, Adult websites, Proxies, or Warez content. Sites with this sort of content are much more likely to receive regular DMCA complaints. A DMCA complaint is where a copyright holder or organisations representing a copyright holders lodges a complaint to have a site or content on a site taken down. Traditional hosts will remove the site without any reservations. An offshore host, which is located outside of the US may have a more understanding policy about such a request. You should read a providers policy before signing up. Sites that a blatantly illegal such as: phishing, spam and mass emailing will likely not be accepted on most offshore hosts either.

What does a good Offshore host need?

A tight “Terms of Use” policy so you know where you stand on the sort of content you can host on the site before signing up.

Good server specifications: More RAM, and a faster CPU (or more cores) will mean your site will run much more smoothly and respond faster. More hard drive space will mean you can host a larger site on the server. If your site gets a lot of traffic you are going to need better specs, or even a dedicated server.

Good price: Compare specifications of the server before deciding, as things are not always what they seem. A server that has more RAM, a larger hard drive, and a faster CPU are going to be more expensive.

Good support: A good support system is always going to make a difference. If you run in to issues setting your site up, you need someone helpful to sort your issues out.

Shared / VPS / Dedicated?

If you are trying to consider what level of hosting you need, consider this: When looking at a physical server, if that whole server is allocated to your site, that is a dedicated server. If part of the physical server is allocated to your site, but with guaranteed resources, i.e. such as a set amount of RAM, and CPU, that is a VPS. If there are many sites hosted on that same server, and none of the sites are guaranteed resources, it is shared hosting. Generally a new site or a small site with less than 1000 visitors a day will be fine on shared hosting. If you want to guarantee a good user experience in terms of speed for your visitors, you should start with a VPS. By the time you get to dedicated, you are dealing with a very busy site.