It is also one of the most expensive, with the new curved screen adding to the cost of the device, as well as new memory capacities of 64 and 128GB that have the potential to push up the cost of ownership as well.
Buying, as an example, your S6 Edge with 64GB of RAM adds £100 to the cost of the 64GB S6. At the moment, Samsung isn't listing the 32GB Edge price, although it will appear at some point with the same price gap. Right now, your cheapest S6 Edge outright buy is £760.
As a rule, expensive phones like this can work out cheaper on a 24 month tariff than buying the phone and picking up a SIM only deal, so let's check out the best value deal we can find.
The best Galaxy S6 Edge deal right now:
Free phone, unlimited calls, unlimited texts, 2GB of data, £36.50pm
Prices for this phone have come down a lot this month with Vodafone once again the most attractive network. The best Galaxy S6 Edge deal we can find is this one - unlimited minutes and texts combined with an adequate 2GB data for just £36.50 a month (after a lovely cashback sweetener) - that's pretty awesome.
We're starting this round-up with all the best S6 Edge deals on Vodafone because signing with this network is by far the cheapest way of getting hold of this phone. That deal above is the best deal on Vodafone right now, but here are some more to tempt you...
Top deal 1: Free 64GB phone, unlimited calls and texts, 6GB of data, £40.50pm
This is a great deal if the 2GB deal at the top of the page doesn't offer you enough data. Get the unlimited minutes and texts that you'd expect with enough data to stream media to your heart's content. Note that the monthly fee here is £49 but when you sign up you'll instantly get £204 cashback to sweeten the deal.
Top deal 2: Free 64GB phone, unlimited calls and texts, 10GB data - £42pm
And here's the best deal if you're an absolute data fiend and you need a full 10GB of the stuff. This is another deal with a big instant cashback - the same as £50 a month but with an instant £192 sweetener.
EE is the best network if you want super-fast and reliable 4G network speeds. If offers two tiers - one with double speed and one with general speed to match the other networks. Choose wisely - if you don't need crazy-fast speeds, you probably don't need to pay the extra.
Top deal: £29.99 phone, unlimited calls and texts, 5GB data - £46.99pm
This works out as the best deal on the S6 Edge on EE right now. Get the 64GB phone for £29.99 and then unlimited calls and texts and 5GB data for £46.99 per month.
O2 is an all-round good network offering fair prices and decent service. It's also the network famous for its extras, in particular its O2 Priority service which gives all its customers priority access to ticket sales for gigs, concerts and other events.
Top deal: £129.99 phone, unlimited minutes, unlimited texts, 5GB of data, £49pm
If you want the S6 Edge on O2 you won't be getting the handset for free. This is the cheapest deal we have found but though - good amount of data included and the 64GB handset has plenty of room for your music and videos.
Three is the network famous for one thing - its unlimited data packages. No other network offer unlimited data and so if you don't want to worry about how much video you're streaming or how many apps you're downloading, Three is the network to go for.
Top deal: £49 phone, unlimited calls, texts and data - £56pm
Three isn't often the cheapest for phone and contract deals, but this offer isn't bad over 24 months. And crucially, this is the only network in the UK where you get the Galaxy S6 Edge with an unlimited data package.