You will get as many different answers as there are people with preferences.
The Millers stuff raises the octane level by two whole numbers, which, if added to standard unleaded petrol (95 RON) is still lower than BP Ultimate's specified 98-100 RON. Shell V Power is rated at 99 RON.
Millers also has its own detergent "package", which is of course in addition to any petrol you use it with, since all petrol contains some kind of additives.
Personally, I would say there's not much difference between the three options. I haven't done the maths, but it might be interesting to calculate the cost of using Millers with standard unleaded compared with the BP/Shell alternatives. As for any difference between BP and Shell - who knows?
If you continue to use Millers, shop around. You can get it online much cheaper than elsewhere. (E.g. £10.30 with free postage on Ebay; £12.99 in Halfords.)
Some will say it's not worth using anything but bog-standard supermarket petrol. The difference is in the detergent package and whether you believe that is important.
Edit: Sorry - my answer is as for petrol, but probably most of the arguments also stand for diesel.
Edited by FP on 29/01/2016 at 13:06
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