There are a couple of useful tricks. These apply to the old Reddit interface, not sure about the new.

To skip over the pointless start, use d to navigate to the last landmark. That's where posts begin. From there, you can quickly move through posts by using b, for next button, as there's upvote and downvote button on each post. Pressing b twice takes you to the downvote button, then down arrow lets you read the post title.

Within a post, pressing d to the last landmark places you at the start of the post specific things. From there on you can press e to go to the edit field for the comment, or b to go to the save button. After that, for navigating comments you can also use the b trick, but there are other options. For example, there's an add-on for NVDA called TextNav that lets you go over all the links and crap by using shift-alt-down arrow or shift-alt-up arrow. It will move to the next block of text and it is very handy for navigating through forums where there can be a lot of extraneous crap you don't care about, and it works equally well on Reddit.

Hope these tricks help. I'd like to hear of any others people have come up with.

Personally, I learned to embrace new reddit, partially because it has a ton of hotkeys exactly for things like this. If you type a question mark it'll display a full list, but for navigation here's what you do. Once you go to the front page or a sub or a post, turn off browse mode with NVDA+space and then you can just press J and K to go to the next or previous post. Pressing enter will navigate to one and should automatically start it reading. If it doesn't which can happen sometimes, go back into browse mode, go to the bottom of the page with CTRL+End and then to the previous level 2 heading with Shift+2 and you can start reading. Once you're done looking at a post either go back in your web browser or press escape. If you'd rather not do the J and K thing, going by level 2 heading will jump you from post to post as well. This is why I like the new interface. The classic one is also accessible and less resource intensive, but I found it really cluttered with a lot of buttons next to every entry and no fast way to skim through a sub.

This is a very helpful post. I wish I could contribute but I am using JAWS on my desktop. I am hoping for the day when reddit puts in a way for text to speech software to navigate comment levels...

You can also press nvda+shift+space to toggle single letter navigation off in browse mode. That will let things like j and k work, but still let you have the other browse mode features. Play around with it and see what you come up with.

https://old.reddit.com is your friend.