When comparing Geary vs Kontact, the Slant community recommends Geary for most people. In the question“What are the best native e-mail clients for Linux?” Geary is ranked 4th while Kontact is ranked 7th. The most important reason people chose Geary is:
Setting up accounts is a simple as putting in the users e-mail address and password.
Specs
Ranked in these QuestionsQuestion Ranking
Pros

Pro Straightforward and simple UI
Setting up accounts is a simple as putting in the users e-mail address and password.
Pro Native GNOME application
It looks and works like a GNOME application should, so it Just Works™.

Pro Fast and responsive
Geary is faster than most e-mail applications, upon starting the program or even just browsing in folders.
Pro Beautiful UI
Everything about the look and feel of Geary is a breath of fresh air after the clunkiness and ugliness of it's competitors.
Pro Lightweight
Pro Threaded conversations
Threaded conversations means all subsequent replies are view-able underneath the initial e-mail.
Pro SQLite DB for email
It uses SQLite DB for storing email messages from all accounts in one single DB file.
This makes it portable as in you can just copy one SQLite DB file and move your offline mail content to another PC/location. Also, one SQLite DB file for all messages means it is incredibly fast.
Pro Work in background
Pro TNEF support
Support for Outlook-specific email attachments (TNEF).

Pro Multi-account, multi-identity
Supports both multiple accounts from different servers / services simultaneously (both inbound and sending) as well as multiple identities. Incoming accounts have a default identity and it switches automatically to the correct identity depending on the mail folder you are in.

Pro Integrated calendaring
The integrated calendaring support means that incoming invitations can be accepted with a click and they get put into your calendar automatically.

Pro Supports multiple groupware servers and services
Besides being able to connect to any IMAP, POP3 and SMTP server, you can also connect your Google and Facebook accounts and access Kolab and Tine servers natively.

Pro Encryption
Fully supports PGP and S-MIME with built-in certificate management. Encrypt, sign and verify emails easily and securely.

Pro Built-in search
Searching for emails is simple with the search box in the main window which can scan through email bodies, email flags, recipients, etc. Lightening fast in recent versions.

Pro Plain text and HTML mail editing
Provides support for rich-text (HTML) mail editing, but kindly defaults to plain text. Also supports viewing HTML emails with several security features built-in.

Pro Contacts, Todos, Notes, Journals, Feeds ....
There are numerous components that come with Kontact that augment the mail experience including contact management, todo lists, note takers and an RSS feed reader, among others.
Pro Integration with kde plasma
Based on qt, and part of plasma suite, it integrates well with other KDE apps like kwallet, calendar, etc.

Pro Continuous, active development
Kontact has been actively developed for over a decade, with components such as the mail and calender going back even further. Development continues to this day with an active and responsive open source community made up of both volunteers and paid developers behind it.

Pro Solid offline IMAP
IMAP support is a strong point for Kontact, with offline mail and sync being transparent and automatic. Read and create mails on the go and everything syncs quickly and reliably when network connectivity is available.

Pro Spam, scam and adblock features
Supports spam filtering, scam detection and adblock for HTML mails.

Pro Keyboard friendly
Can be driven almost entirely from the keyboard. Moving an email, for instance, is a simple matter of hitting 'm' and then typing to filter through the list of folders that appears.

Pro Cross-platform
Works on Linux/BSD (all desktop environments and window managers), Windows and Mac.

Pro Threading
Has flexible and powerful options, from "traditional" conversation-style threading to organizing by date, by senders and receivers, .... paired with "keep replies in same folder" it is easy to track conversations over time.

Pro Filtering
Supports client and server-side filtering of mails by subject, recipients, mailing list, body text, etc.
Pro Very flexible user interface
You can make the Kontact UI look and function how you want. You can re-arrange the main interface, as well as make the list of mails show or hide almost anything you could need.

Pro Professional support
For enterprise deployments, having commercial support can be a big plus. Companies such as Kolab Systems provide professional support and consulting services for Kontact.
Cons
Con No PGP
No encryption available.
Con No horizontal layout
There is no optional horizontal layout for those that want to be able to view their emails headers across the full screen.
Con Made for Gnome 3
It may look out of place in any other desktop environment.
Con No incoming message rules
Con Too basic
Very Basic, cannot format date, cannot create new folders - What!!
Con Not seen as a secure app by Gmail
Con No native Exchange support
Whilst possible if your Exchange server and account are using Davmail as a proxy, at the moment you can't natively add an Exchange account.
Con Development is pretty dead
No real development since October 2017.
This should be changed from a "Con" to a "Pro" as the Librem 5 smartphone has Geary as the default email application. There is ongoing development happening as can be seen at https://gitlab.gnome.org/GNOME/geary/commits/mainline
Con No Pop3 support
Con Bad HTML rendering
The HTML rendering of email messages is not full fledged. Some messages can appear a bit off compared to their appearance on browsers
Con No images in HTML signatures
Whilst it is possible now to add a HTML or plain text signature per account, there is no support for per images in the signatures. This is a must for when an employer imposes a set signature with images.
Con Its bloated
IT requires many GNOME dependencies or it will be unusable on the most non other X11-desktops
Con No proxy support
Seems like it can't retrieve email from behind proxy.
Con Crashes frequently
Con Akonadi
