I'd also have Suede as more influential than Blur, in their immediate context anyway. Probably the first truly "Britrock" band with recent influences such as The Smiths but also casting back to Bowie and T-Rex.
Blur's first album was heavily influenced by Madchester and Shoegaze imo which were both de rigueur at the time. I'd argue Blur went on to have a more interesting and varied career but their debut was very much of its time.
With all this talk of the Strokes, I'd add another name to the mix, one who has influenced probably every band I (and I assume countless others) have loved over the last 25 years....