Like others, my iPad 2 (16 Gb, wi-fi only) is just not the same as it was under iOS 7. I am running iOS 8.0.2
Here's a list of steps that I've taken that have improved matters, though I still have trouble clicking through to hyperlinks on Safari.
Go to Settings
Spotlight search
turn off as many as you can
Accessibility
turn off everything EXCEPT "Reduce motion" -- turn that ON
Background App Refresh
turn off
Keyboard
turn auto-correction off
turn split keyboard off
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Wallpaper
use some still, not dynamic
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Privacy
Location services
turn this off for all apps you can
Share my location
turn off
Contacts
turn this off for all apps you can
Photos
turn this off for all apps you can
Microphone
turn this off for all apps you can
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iCloud
turn this off for all apps you can
turn share my location OFF
iTunes and App Store
Automatic Downloads
turn off all that you can (I leave only app updates turned on)
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Safari
Preload top hit
turn off
Don not track
turn on
Fraudulent website warning
turn on
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After changing all of these settings, do a hard reset (hold the power button and the home button in for ~8 seconds). Let it boot up and reconnect, then repeat the hard boot once or twice again. I hope that you will find that your trusty iPad 2 is at least functional, if not a match before it got trashed with iOS 8.
So now my iPad is working at a level I consider marginal. But why Apple's engineers could not foresee these problems I don't know. Perhaps they're all kitted out with brand-new iPads, or they tested out iOS 8 on virgin iPad 2s that had not been loaded up with apps and contacts and such. In any case, I certainly will not be jumping on the Apple update bandwagon ever again. Instead I'm shopping around for what Samsung now has to offer. I know Android is not without it problems, but, after all the pre-release about iOS 8, I find Apple's behavior quite obnoxious. The company should be acknowledging that this was a screw-up and that they are going to provide their customers with a real fix or with a way back to iOS 7. And I don't mean just a re-install of iOS 7 (which would require re-installing all apps, settings, et cetera) but a way of going back to iOS 7 and then being able to use a backup created under iOS 8 to bring my machine back to where it was on September 16th.