For the revived Toonami, Cowboy Bebop and Fullmetal Alchemist: Brotherhood both show shades of this (with the former also being a favorite of [adult swim], coincidently), as they're currently the only two shows (besides the long-running Bleach) to have stayed on Toonami ever since it was revived back in 2012 (granted, Cowboy Bebop was taken off for a brief period, but it came right back when the block expanded). Also, when questioned on what their favorite show is, the crew answers with those two shows.
As of October 19th, Cowboy Bebop has been removed from the lineup due to the airing rights expiring, and has been replaced by the long awaited Ghost in the Shell: Stand Alone Complex. However, it still counts for this trope, as the crew has confirmed the possibility of Bebop returning, thanks to FUNimation rescuing the series. As for Fullmetal Alchemist Brotherhood, it's still lingering around as of this edit, no doubt thanks to its length of 64 episodes (it doesn't help that it's no longer airing two episodes a night like it was when the block expanded to six hours), and the crew has teased at giving the show another run right after it finishes its second run.
After being one back when Toonami was still on Cartoon Network, Naruto is yet again a network darling. Not only is Naruto Shippuden being premiered, but the original Naruto, originally stated to have officially left on November 30th, is now going to be rerunning the first 52 episodes again. Not only that, but Star Wars: The Clone Wars is being moved down to 5:00 AM to make room for said reruns, removing an episode of InuYasha in the process. And on February 1st, it will be moving up to 2:30 AM.
Though a much more minor example compared to all of the above, Kick-Heart seems to be getting plenty of attention ever since it was aired the same night as Evangelion 2.22. Not only was it aired a second time alongside King Star King and Korgoth of Barbaria as Fall Daylight Savings Time filler despite the rather mixed reception it received the first time around, but Toonami also aired an advertisement for the Blu-Ray release purchasable from Anime Jungle.
We can now add Space Dandy to the list, if the weekly "Next episode" promos that Toonami makes are any indication. Justified, since this show is world-premiering in America, and how it performs could easily affect whether or not more simulcast dubs can happen in the future, as well as Toonami expanding beyond 11:30 PM.
Awesome, Dear Boy / Doing It for the Art: There's only six people manning the ship of the Toonami reboot. They've even admitted that they aren't getting paid for it. Any money that is budgeted to the block goes directly into production values and licensing new shows. This is obviously a work of love on the part of the crew.
Toonami briefly aired on Kids' WB!, though it never left Cartoon Network during that time.
Colbert Bump: Most music featured on the block has a huge surge in popularity afterwards. This is doubly true for original run composer Joe Boyd Vigil, who is almost unknown outside of Toonami fan circles, and DJ Clarknova, AKA Jason DeMarco, who pretty much is unknown outside of Toonami fan circles.
C. Martin Croker voiced Moltar during the block's first couple years. He also voiced the character, as well as Zorak, in Space Ghost Coast to Coast.
When TOM was introduced in his first iteration, his voice was provided by Sonny Strait, who's mostly known for voicing Krillin and Usopp.
Peter Cullen provides the voiceovers during various Toonami promos. He's most famously known for his voicing Optimus Prime, and the creators chose him after hearing his narration over the intro to Voltron (he not only narrates the show, but also voices a few characters as well, specifically Coran and Commander Hawkins).
Steve Blum, who has been voicing TOM ever since the TOM 2 era. The creators chose him due to his performance in Cowboy Bebop.
I Knew It: When Cartoon Network announced the return of Cartoon Planet, some fans speculated that this would lead to Toonami returning as part of the network returning to its roots for its 20th anniversary. Of course just a day after Cartoon Planet premiered, on the night of March 31-April 1 2012...
Network to the Rescue: Disney used to air Naruto Shippuden on Disney XD, with some edits removing blood and swears to make it more appropriate for Disney XD's younger target audience. That may not necessitate a rescue, but when the show started to get more violent, Disney simply stopped airing it and did absolutely nothing with the show. Once the license expired, Toonami wasted no time picking up Shippuden for airing uncut and uncensored.
One of Us: Steve Blum's definitely a member of the Toonami Faithful.
Screwed by the Network: Toonami aired every weekday for years before being moved to Saturdays only, and the block's time slot was cut in half; its schedule eventually consisted of reruns, filler, and Naruto; it was replaced by the network's new darling Miguzi the week following its move to Saturdays-only...the list goes on and on. Long story short, it was canceled by Cartoon Network, which was supposedly due to bad ratings, despite the fact they were the ones causing them. Then, it was un-screwed when the fandom made enough noise.
Even on the new Toonami, unfortunately, the shows themselves still aren't immune to this. So far, Ghost in the Shell: Stand Alone Complex was removed partway through its run and replaced with InuYasha (though since the removal of Cowboy Bebop, it has returned), Tenchi Muyo GXP was moved down to 3:00 AM, and ThunderCats and Sym-Bionic Titan, the former of which pulled in as many ratings as Bleach and Naruto when airing in the right timeslot, were also unceremoniously removed the former being taken off partway through its second run (to be fair, though, it was because the airings rights were unexpectedly expired, and Sym-Bionic Titan has been confirmed to return).
Samurai Jack has apparently set a new record for how fast a show can get screwed over: 3 weeks before even airing. The 2/1/14 lineup that the crew posted on their tumblr reveals that Samurai Jack, which was hyped up quite a bit for its eventual return to Toonami, is being aired at 4:00 AM. Especially egregrious considering that the show it's replacing, FLCL (which was airing reruns on [adult swim] Action much longer than Samurai Jack was on Boomerang), was aired at 2:30 AM.
InuYasha has joined the 'screwed by rights' category, leaving the block out of nowhere due to rights losses.
Sleeper Hit: Toonami is darn famous for them. As detailed elsewhere, anime series that didn't do well in their original Japanese run and that were simply picked up due to having low asking prices for TV airing ended up becoming quite popular in their Toonami incarnations. The best examples of this are Outlaw Star, The Big O and, most recently, Deadman Wonderland. Deadman deserves special mention, both because by the second episode its ratings rivaled those of Bleach and because the show tanked in its home country so badly that ratings data is simply not available for it.
Talking to Himself: Steve Blum voices both TOM 3.5 and TOM 4 when they chat with each other.
Trolling Creator: Quite a bit. Whether it's their send-off to Deadman Wonderland, their responses to negativity on the Tumblr, or Jason DeMarco re-tweeting "Toonami Sucks" tweets, the crew gets plenty of trolling on the fans.
Wiki Rule: The Toonami Wiki, which provides information on both the current and past Toonami (even the Kids' WB Toonami), shows that have aired, are currently airing, or will be airing in the future.
Glen Bartlett, the man who runs the Toonami Asia channel, has said that NAMI, the host of the channel, exists in the same universe as TOM and SARA, teasing at a possible meeting between the characters. However, the staff of Toonami Asia is different than the U.S. Toonami staff, meaning that Bartlett's statement holding water depends on whether or not Jason DeMarco and the rest of the crew agree with it (DeMarco himself stating that the U.S. Toonami staff are not involved with Toonami Asia doesn't help).