A new visio alternative for Mac is available. I used edraw max lifetime license for some years. Today I'm glad that I got the mac version. It's really a good choice for IOS users. The software has more examples and templates. The symbols tools is important for me because I need create own electrical symbols. They also give great support which is important.

I like Visio and wish it supported GraphML

yEd does and it's free.

yEd should be in your list!

It is good, but due to not using a standard filetype that can be opened in a good way by other programs it should be avoided. Switched to draw.io

Each liscense is several hundred dollars

Its very slow to learn how to use visio and do many tasks

I highly suggesting using draw.io

SmartDraw offers a solid alternative to Visio. It imports both VSDX and VSD files. It has a desktop PC edition and you can also use it online in a browser. The Cloud edition lets you do what you used to do in Visio on your Mac: make flowcharts, network diagrams, and so on.

It also comes with a big collection of diagram templates, examples, and symbols. It may seem overwhelming at first, but anyone who needs a little nudge to help get a project off the ground is going to love all the options.

The tools are intuitive and are meant to make it easy to create a diagram even if you've never made one before.

This video on their site does a really nice job of highlighting the major differences: https://www.smartdraw.com/software/visio-alternative.htm

Have a look to ADONIS Community Edition: is a free version of the commercial software ADONIS from the BOC Group. You can model process maps, flowcharts, organigrams, attach information regarding documents, systems, risks, etc.

It provides full support for BPMN 2.0 and advanced mechanisms such as process simulation, queries and web documentation.

CrossOver by CodeWeavers allows Mac and Linux users to install Visio 2007.

To learn more check out the CrossOver Community page for installing Visio 2007: http://www.codeweavers.com/via/visio2007