So, you want variety... let's see...
If lecture capture (recording audio + slides + lecturer during a live lecture) is something that your faculty/university would like to explore, then this is a good free and open source project: http://opencast.org/matterhorn/
For screen casting (recording your computer screen + your voice) there's a number of free and open source projects with varying degrees of functionality: https://en.wikipedia.org/wiki/Comparison_of_screencasting_software (Look for GPL, BSD, and MIT licences).
Most of the commercial screen cast software, Captivate, Raptivity, Camtasia, etc., is aimed at business training scenarios and for producing SCORM packages to deploy on company SCORM players (a scaled down type of LMS). However, they can export/publish in a number of standalone formats including Flash, video, and nowadays some do HTML5, although you won't be able to deploy HTML5* slideshows with Moodle's file Manager (It breaks the links between the files and deletes some of them because it thinks they aren't being used).
It's also worth investigating the popular media players (Moodle uses FlowPlayer by default) such as the JW Player: http://www.longtailvideo.com/jw-player/ or Strobe Media Playback: http://sourceforge.net/projects/smp.adobe/ (free and open source). They can play a variety of playlists and so you can collate lists of images, audio, video, and animations to be played in sequence. M3U playlists are incredibly easy to collate, SMIL XML files are a little more involved and difficult but learnable.
In Moodle itself, the Book module is a flexible way to collate/compile text, images, audio, animations (but not HTML5), and/or video on a series of pages, with built in navigation and a list of contents, i.e. slides. It's also easier to compose since you're not trying to give a performance (lecture) and do everything at once; you can record the parts separately and then bring them together. It's also much easier to correct typos.
* BTW, it is possible to display HTML5 slideshows and animations in Moodle but not with Moodle's file manager. It's usually easiest to use a separate repository and "hotlink", i.e. link directly, e.g. use iframes: https://developer.mozilla.org/en-US/docs/Web/HTML/Element/iframe or just a standard link, to them from within Moodle. The screen space available on users' computers/devices can sometimes be an issue (standard HD 1280x720 presentations rarely fit into a Moodle page alongside Moodle's navigation and other elements) so opening a presentation on a page of its own can be more desirable since it can use the whole screen.
Finally, I think giving learners control of slideshows is a step in the right direction; they can pause, review, and jump to specific parts, as well as refer to other resources, while they're trying to make sense of the subject matter, i.e. if used appropriately, it can lead to deeper learning.
I hope this helps!