When comparing Google Inbox vs Boxer, the Slant community recommends Google Inbox for most people. In the question“What are the best e-mail clients for Android? ” Google Inbox is ranked 8th while Boxer is ranked 16th. The most important reason people chose Google Inbox is:
Inbox follows Google's Material Design guidelines, making for an intuitive and smart looking interface. Bold colors with clear text and intuitive actions allow for one of the better looking in house Google apps on Android.
Specs
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Pros

Pro Good-looking interface
Inbox follows Google's Material Design guidelines, making for an intuitive and smart looking interface. Bold colors with clear text and intuitive actions allow for one of the better looking in house Google apps on Android.
Pro Intelligent categorization
Inbox tries automatically bundling similar messages together. For example, Inbox will create bundles for travel information, receipts, promotions as well as group messages temporally. It enables also managing these bundles of messages together - they can all be swiped away together.
Pro Can snooze emails
It's possible to "hide" a message until a specific date and time or location, which gets the message out of your way until you're ready to deal with it. Swipe left and you can have the email disappear for a day, a week, a month, etc.

Pro Helps deal with messages quickly
Inbox has intuitive swipe gestures that allow quickly dealing with emails or groups of emails. It's possible to mark them done, archive them or snooze them for later by swiping. It allows you to keep inbox at zero messages easily.
Pro Surfaces important information from messages
If an email contains pictures, flight information, reservation at a restaurant, attachments, links, dates, phone numbers and other information that the application recognizes, it will surface that information in its main view. These items can be viewed and interacted with without having to open the message itself. It allows finding and taking action on the important email information quickly.
Pro Can add notes to emails
You are able to add notes or reminders to pinned items - very useful for long email chains when you can't remember what the main point was!
Pro Integrates Google Now reminders
For users of Google Now, Inbox integrates with the service allowing for reminders to be seen while using Google Now as well as set through the service.
Pro Integrates realtime updates in messages
Through a feature called Assists, Inbox offers context sensitive updates to messages. These include information such as flight status updates before a scheduled flight.
Pro Can create tasks from dates and tasks in messages
If a message includes a date, Inbox is capable of automatically creating a task from that information.
Pro Auto replies
Can reply to emails using an AI generated response
Pro Trips Bundle
Centralized "folder" for trip info such as airline, hotel, and rental car reservations. Similar to Google Trips.
Pro Categorizes mails by Bundles
In addition to the several automatic categories, you can also create your own bundles. Thus reduces clutter and enables you to archive a whole bunch of mails with one swipe.
Pro Swipe actions
Swipe a message to the left to archive, swipe right to place it in a to-do list.
Pro Supports Gmail labels
Boxer has Gmail labels fully supported.
Pro Integrates with other services
There's Dropbox and Box support for cloud storage, LinkedIn and Facebook support for social profiling, Evernote support for notes, etc.
Pro Quick-responses
Click the 'quick' button below when composing a message to put a prewritten snippet of text inside the email. There's a set of ready-made solutions, but you can add your own.
Pro Allows "liking" messages
You can automatically send a quick message of appreciation to the sender by clicking like.
Pro Combined inbox
Boxer uses a combined inbox for all your accounts.
Pro Reminders
Cons

Con Only supports Gmail accounts
No exchange email support or importing of any other e-mail services mail.
Con Will be shut down in March 2019
Con No rich-text (HTML) formatting for composing mails
Con No way to mark a message as unread once it's read
Con No way to delete a single message in a bundle
