As Bob said Blasers seem to divide people right down the middle, some love them and some hate them. It must be said that it is rare to find someone who has actually used one who hates them but never the less it would be very wise to try before you buy just in case they aren't for you. I wanted one rifle to do everything right out of the box with no need to spend my time fitting new triggers and bedding actions and changing stocks and rebarreling which seems to happen a lot with some models of rifle. I bought an R93 in 308 and have never looked back and if I had to do it again I would buy another R93 in 308, it is still the only rifle I have.
With the Blaser you buy into a whole package but there are lots of other very nice rifles out there, many of them more conventional. I shoot left handed so that is one factor as it is easy to make the Blaser left handed and I also travel back and forth to Scotland by boat and plane a lot and in that situation the Blaser is ideal as it breaks down into a small flightcase I had made that looks nothing like a gun case and that isn't much bigger than a brief case. I also like that the Blaser gets a good reputation for being rust proof as sometimes I stalk in Scotland, put then rifle into the case, and then travel for a day or two with no chance of a good clean and sometimes it is a little wet. I also like the manual cocking mechanism as it means I can carry the rifle with the added safety that the firing pin is not cocked until I do it manually. The rifle will shoot nearly any factory ammo into an inch and shoots most loads to as near the same point of aim as makes no difference, it also launches 150 grain reloads at 3000fps with no sign of pressure. All these are small things on their own but for me they add up to a package that suits me and how I travel and shoot and they make the rifle really easy to live with.
On the down side it is expensive for what you get, especially when you factor in scope mounts and so on. Also there are the internet rumours of action "failures" which those who dislike Blaser are always keen to tout however when I did my research I found that the numbers were very, very low and much lower than for other models and also that the people (mostly just one person to be accurate) involved in the well documented ones had done something very stupid indeed, often repeatedly. I believe the R8 "action" is even more robust than the R93. It was also the case with the R93 that there were occasional reports of misfires, and I experienced this myself, however I would imagine this is long since solved and would not be an issue in the R8 and my personal experience is that it happened once in over 2000 rounds and removing the bolt and replacing it in the "action" resolved the problem with no repeat in many years now.