While not nearly as discoverable or convenient there is some google UI built around a few of these.
1. Click the "Tools" link just under the search button and you get options for restricting your search to a specific time range and making it an exact match.
2. If a term isn't included in a result sometimes Google will show "Missing: <search term> | Must include: <search term>" just under the entry
This article does a great job hitting on a lot of the pain points for developers in the MAS. While not all of these are experienced by every developer all of them hold some weight.
I've had a real tough time dealing with sandboxing especially. In my app HD Cleaner (https://itunes.apple.com/us/app/hd-cleaner/id836769549?mt=12), users need to "open" their user folder in order for the application to get the proper access to files. Unfortunately this is a large hurdle for some users because they have no idea WHY they have to choose their user folder. This has lead to confusion as well as some bad reviews. The app could be a lot more efficient and convenient if these rules weren't in place. Despite this I think it's great Apple is taking security seriously. I just wish there was a better way.
I make an average of $70/day on my app in the Mac App Store called HD Cleaner. https://itunes.apple.com/us/app/hd-cleaner/id836769549?mt=12. I wish I had more time to invest in making more apps like this one. I've been really surprised by how well the app has done with little to no marketing.
Both support simple http APIs to trigger push notifications to iOS as well as other platforms. Both options worked great for me when I needed them.