This app was mentioned in 20 comments, with an average of 2.40 upvotes
It's not as polished as I'd like but it's great for collecting recipes, sorting them by ingredients, planning meals, and transferring recipes to grocery lists.
I use Paprika for my recipes. It has a built-in browser you can load a recipe from and it will import the recipe. I've found it to be extremely accurate, even with sites that have advanced html coding or a lot of extra content. You can also sync your recipes between different phones, tablets, and a pc (pc software requires additional purchase). It's one of my favorite apps on my phone.
I use Paprika. You can create your own recipes, or import from literally any site or blog out there (which may involve manually highlighting the various items of the recipe), rate them in a 5 star system, tag the difficulty level, mark recipes as a favorite, add tags for sorting, sync with other devices, add notes, email recipes, etc.
It's a paid app, but I use it almost daily and think it's definitely worth the $. The downside is that if you want a PC version, that's a separate charge and it's quite a bit more expensive than the smartphone app.
Paprika Recipe Manager (Play Store)
Is access to it on desktop/web or having a "social" component (where you see "popular recipes, etc) important for you?
Paprika and BigOven are two of the big names in this space.
I want to like Paprika as it seems to be one of the most feature rich, but the Android version of their app is not very good (and mostly forgotten about).
BigOven actually got a huge redesign for all their platforms (iOS, web, and Android) around a year ago. Looks nice. I couldn't ever get into it, but I don't honestly remember why.
Yeah, it's pretty pricey, unfortunately. So all-together we paid almost $15 to be able to have it on both our phones and the kitchen iPad.
It is on Android as well though! Here's a link: https://play.google.com/store/apps/details?id=com.hindsightlabs.paprika
Paprika Recipe Manager. Pricey, but it syncs with the desktop version, keeps track of all your pantry items and stores your recipes.
I like Paprika Recipe Manager. You can use its built-in browser to navigate to any web page with a recipe and automatically save it with one tap. In the Windows client, recipes can also be exported in HTML format with standardized recipe microdata, so you can build up a recipe library without being wedded to this one app forever. It also has a shopping list and meal planner, which are integrated with the recipe functionality and work as expected. It automatically syncs your data between devices, and they have clients for most major OSes. The only downside is there's no web interface; you have to use their app and you pay separately for each version. However, it's a one-time fee with no subscription required. To me it's been worth the price!
It really depends on what you're looking for. Each cooking app I've looked at is tailored a little differently. Some focus on social and sharing. Others focus more on being useful when you're actually cooking. It also matters whether you're looking for something that has a website and an app, just an app, or whether you can "save" recipes from major websites like AllRecipes.
I'd recommend checking out Paprika or BigOven. I'm personally not a huge fan of Paprika because it wasn't originally made for Android and it's missing some huge features that are on iOS. It's also not material designed and is a bit of an eyesore. However, it's one of the most popular options because of its feature set.
Big Oven just recently had a big push to rebrand. New website and new apps. This seems to be the biggest competitor to Paprika.
One of the newer apps (that I've noticed, don't actually how new it is) is Recipe Book. Doesn't seem to have a web presence, but seems to be very well designed for Android.
Links:
Paprika has an Android version, too.
https://play.google.com/store/apps/details?id=com.hindsightlabs.paprika
Sorry, I didn't realize there were more!