A lot of podcast playing software can do this. If you have an Android phone, I recommend Podcast Addict (it's what I use and the free version is fully enabled, it just has banner ads). Subscribe to the feeds you want in the software, and then if you hold down on the feeds in the list you can choose "Download unread episodes" and it'll grab every single one you haven't yet listened to in Podcast Addict.

The C2C Void as I think of it. Though, do we know what percentage of the pinball podcasts are monthly or longer between releases? That would be pretty interesting information (to see what the standard release schedule is for each one). I currently subscribe to 11 (including mixed gaming podcasts that include pinball). It looks like just under half of those are releasing monthly+, but a number of them are fairly loose with the release schedule.

Guess I should have noted our schedule along with my statement to help out!

Tony and I are every two weeks also, with a typical release on Sunday. We're mixed gaming and a lot of pinball folks might not be keen on that, but we probably average about 70% pinball content across all the episodes.

We've (well, more me) have also been critical towards this forum. Never calling out individuals, but the hostile atmosphere is a constant reference point. I've never heard blow-back that we're mean or unfair in our statements (and I've never been concerned that I'm stepping over a line with this site; at least no one has suggested such to me). We simply feel gamers (many of whom may not be familiar with Pinside) should be aware that the tone here is different than what they encounter on other sites. /shrug

iTunes can be installed on PCs and set to download unplayed episodes (and delete them when finished). Any podcast worth its salt is listed with iTunes, so it may be the easiest option on PC.

I think Pocket Casts is another option. It is for phones, but it syncs so you can continue through a web interface. I've never used but I know people who love it.

Arcade Outsiders Podcast also looks to be over. They noted episode 100 as their final back in October it appears. http://arcadeoutsiders.com/

The Broken Token Podcast's Facebook link is broken. Here is the one they are now using:
https://www.facebook.com/brokentoken/

Thanks!

Couple of updates I've seen:

BlahCade Podcast (under Virtual Pinball Podcasts) links to a forum post that isn't maintained. Here is a link to their website where people can track the latest episodes: http://blahcadepinball.com/

Geek Gamer Weekly (under Mixed Arcade and Pinball Podcasts) appears defunct. Last episode was October 2, 2016 and a forum post on their site a couple months later suggests that the show was put on indefinite hiatus (hard to say for sure, but appears there hasn't been any site-developed content of note since 2016): http://geekgamer.tv/forums/index.php/topic,2706.0.html

Pinball Profile is the closest to meet all conditions you provided. It is interview-based, so how well it tackles #1 for your purposes I'm not sure, but it does cover events and tournaments. Some risk of #5, depending on the interview, but the show is very tightly edited and on average is probably the shortest episode length of any existing pinball podcast.

Anyway, it would be the one I'd recommend trying.

I imagine because there's no real upside. Two issues at play:
1) The population is small. From all analytics I've seen, the potential audience is well under 10,000 unique listeners. This volume is too small to be a noteworthy source of ad revenue.
2) Cloning Nate's format means adhering to a structure and format designed by someone else, rather than getting to be creative.

If there was money in it, then I could imagine someone deciding to replicate the C2C format just for the paycheck. But since there isn't, the ask would be to give up one's own creative freedom in order to adhere to another person's vision. I'd find it pretty hard to stick with repeatedly doing that every week (especially since I think the show would always be compared to C2C but the clone would be identified as the 2nd-rate version).

Anyway, just my assumption as to why C2C2.0 never came to be.

Some updates:
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Mrs. Pin
Direct link: http://www.podcastgarden.com/podcast/mrspin
RSS: http://www.podcastgarden.com/podcast/podcast-rss.php?id=13835
Facebook: https://www.facebook.com/Mrs-Pins-Pinball-Podcast-1962454560736663/
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Pinball Player's Podcast
Direct link: http://pinballplayerspodcast.libsyn.com/
RSS: http://pinballplayerspodcast.libsyn.com/rss
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Slam Tilt
Direct link: http://www.slamtiltpodcast.com/
RSS: http://www.slamtiltpodcast.com/feed/podcast
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This Flippin Podcast
Direct link: https://soundcloud.com/user-707700754
RSS: http://feeds.soundcloud.com/users/soundcloud:users:416774748/sounds.rss
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Possibly gone?
Pints and Pinball Podcast (been a year since an episode)
Wide World of Pinball (no episode since 12/30/2016)
Gameroom Junkies (confirmed done)
Podcaster's Guide to the Gameroom (confirmed done)