When comparing Business Calendar vs Today Calendar, the Slant community recommends Business Calendar for most people. In the question“What are the best calendar apps for Android?” Business Calendar is ranked 2nd while Today Calendar is ranked 5th. The most important reason people chose Business Calendar is:
Business Calendar offers configurable widgets in many sizes for displaying Days, Weeks, Months or Agenda views on a user's home screen.
Specs
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Pros
Pro Widget support
Business Calendar offers configurable widgets in many sizes for displaying Days, Weeks, Months or Agenda views on a user's home screen.
Pro Free ad supported version available
Business Calendar comes in a free ad supported version.
Pro Smooth zoomable user interface
Business Calendar has a user interface that supports scrolling and pinch zooming.
Pro Search function
Business Calendar has a search function that allows searching the calendar for dates and events.
Pro Integrates with Google Maps
Users who input locations can use Google Maps from an event to find the directions and location.

Pro Move Calendar events from one Calendar to another
The only app that has the ability to move an event to a different calendar if it was accidentally created in the wrong calendar. This app is an essential addition to any device and for anyone with multiple calendar accounts.
Pro Events can be created using the share menu
Pro Can manipulate with multiple events at a time
The app allows selecting multiple events and move or delete them together.
Pro Integrates with Google Maps for directions
The app leverages Google Maps when adding location for an event by offering suggestions as well as offers opening Maps to help get directions to an event via shortcut on a reminder notification.
Pro Actionable notifications
On-screen notifications have shortcuts for accessing Google Maps and allowing to snooze them.
Pro Clean, good-looking design with improved common views and two great new views that combine month and agenda views
Today Calendar design is based Google's stock Calendar application with modifications to user interface and functionality.
In addition to day, week and agenda views that have improved aesthetics and usability features compared to the stock app, there are also two new views that combine agenda and month views in interesting ways.
One approach shows a complete, color-coded month with agenda view beneath it and the second shows a complete month that pops up agenda view when clicked on a date.
Pro Straightforward event creation
To quickly add an event, each view has an option to either click a plus button somewhere on the screen or long-press a date to bring up a form. The long-press form will allow entering only the event name and assume that it's an all day event, while the plus button form allows setting the event duration as well.
Both forms have an edit button for a adding more detailed information. This way in addition to selecting an event name and date, there's an ability to add location, start/end times, guests, description, color-code as well as choosing if it's an all day event, how often it repeats, how many and what kind of reminders are needed and setting users availability and privacy settings.
Pro Polished agenda and month widgets
The app has semi-transparent and customizable homescreen widgets for agenda and month views. Attributes that can be customized include choosing between light and dark themes, 12 and 24 hour clock, if the widget header should be displayed as well as adjusting opacity level and date range among other options.
Pro Can set on-screen and e-mail reminder notifications
Today Calendar allows setting how many reminders are needed with each having the ability to set how long before the event the notification should remind and if it should be done via on-screen or e-mail notification.
Pro Free 1-week trial
There is a free 7-day trial that can be tested by downloading the free trial version of the app.
Pro Events are readable in month view
Many mobile calendars, including Google Calendar have a largely unreadable month view. Today Calendar (along with the hideous business Calendar) includes a month view that is compact but readable.
Pro Color-coding support
The app will color-code different calendars in different colors as well as allow selecting a different color for each event.
Cons
Con Poor visual design
The design of the app looks a bit dated, something out of the early 2000's. While this does not impede the usefulness of the application, it still is a sore point when compared to some of the other popular calendar apps available on Android.
Con Widgets don't show week numbers correctly on some devices
Widgets on certain devices have been showing week number incorrectly for more than 2 years. The issue hasn't been addressed and there is no sign that it will be.
Examples from S4:
Con Poor support
The developers provide virtually no help with issues.
Con Date on icon removed in redesign
In the older versions of Today Calendar, the icon would have the current days date, sadly this was removed with the redesign of the app.
Con Since Android updated to Oreo, custom notifications are broken
The ability to change the notification tone from the default Android tone is unbearable. And that's mostly because of the default Android notification tone. But the problem is that there are too many different, frequent tones sounding, and it would be nice if the Today Calendar notifications would be audibly distinctive. And the developers seems to have abandoned the app as of July 2018.
Con App crashes too often
Though the app is pretty likable, it keeps crashing. It was fine for a time, but about 2-3 months ago, it would just crash without warning. Nowadays, it happens so often that seeking a replacement may be a good probability.