Is any one caliber more accurate than the others?

Short answer no, long answer yes.... Lol let me explain. No pellet size is inherently more accurate than another. However the bigger the pellet the better the BC which means it will drift less in the wind. So if you are shooting 10m then perhaps 177 is best, hunting out to 50 yards maybe 22 is best then you want to kill rock chucks out to 75 or 100 yards a 30 cal starts to be the answer. So you see the caliber you choose really aught to be picked by the way you intend on using it. I prefer a 25 cal for all my hunting needs because it kills everything from squirrel to coyote out to some serious range especially if I use slugs. When I shoot in my backyard I use 177 and they are Lazer accurate. 
 
Traditionally the .30 was the most accurate caliber as any defects in the lead has less effect on a bigger projectile than a smaller one, lately the consistency of the .30 pellets has been so bad however with more than a grain difference in weight that this rule of thumb no longer applies.

I've completely switched to swaged slugs as they are so extremely consistent in weight and diameter that I don't need to sort them by hand anymore. Over 20 slugs the difference in weight is a maximum of 0.04 grain for the .22 H&N slugs and 0.08 grain for the .25 NSA slugs which is peanuts compared to the JSB pellets which differ between 0.2 and a full grain.

So in essence the most accurate caliber is the one you can get consistent swaged slugs for locally, overhere in Europa that's H&N in .22 and NSA in .25 but more calibers are enroute from both manufactures.

Besides a much higher consistency swaged slugs also have a higher BC which improves accuracy downrange as the slugs are less affected by wind than pellets.
 
The belief among those who shoot 25-30 yards indoors, or outdoors in perfect conditions, is that .177 is best. A calm firing cycle equals an accurate gun and it doesn't take much gun movement to push a light pellet to an accurate speed. Take that distance to 40-50-60 yards and maybe add some wind and the answer changes big time.

Glenn in Texas