Visio® has always been considered the leader in the field of diagraming. Released over 30 years ago, it is desktop software that is part of the Office 365 Suite®, and it, too, checks all of the boxes expected of an enterprise-quality diagramming app. However, if you're looking for an online alternative to Lucidchart, Visio's online version is much lighter in features, and it does not meet all the usual enterprise requirements.
Lucidchart exports files in Visio® format so that you can transfer your Lucidchart files to Visio®, but you have to export each file manually, one at a time.
Desktop Visio® automatically stores its documents in SharePoint®, OneDrive®, or your local desktop. The online version of Visio® keeps them in OneDrive®.
Visio® is priced comparably to Lucidchart.
The desktop version of Visio® is lacking in the modern integrations common to modern apps like Lucidchart. Its light online version is a viable alternative to Lucidchart only if your diagramming requirements are modest.