Searching in the IOS app store. | AppleVis
ios appstore - How can I browse or search the iOS app store from my desktop? - Ask Different
App Store search is not a user feature
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Changing over from android, just ordered my first iPhone, would like to be able to find replacement apps while i wait for it to ship,but cant seem to find a way to browse
To supplement the other responses, some quick Googling led me to fnd, a website that lets you search the app store. Here's a 2014 review of it on Cult of Mac, so it's been around and working for some time.
I couldn't find an Apple site where you can search the iTunes store online.
That said, many other features are available online from Apple, and there are third-party search options.
You can access top charts and featured stuff here: https://www.apple.com/itunes/charts/ (Trying to click the Shop the iTunes Store now button on that page just opens iTunes, which can't access the iOS App Store anymore.)
I accidentally stumbled upon this page with the Categories, so you can browse apps by category alphabetically or by what's popular: https://itunes.apple.com/us/genre/ios/id36?mt=8. This looks like an old page, and the interface isn't great.
Some unofficial search workarounds might be Googling the app name and adding site:itunes.apple.com/us/app/ to your query, or using http://appshopper.com/.
Hope this helps.