Interesting Question. No, I don't think there is any.
Of course it's always hard to prove something doesn't exist. If at all, it would be pretty obscure and a random/artificial one, for sure not a settled one.
Unlike mentioned x86, a 'grown' family of compatible designs of various manufacturers, based on a single CPU, and still backward compatible to the first, or ARM, which, a planned family of partially or fully compatible designs around a basic ISA, the CPUs mentioned as
Datapoint 2200 as well; this group would include the Intel 8080 and 8085, the Z80, the LR35902, the KR580VM1, the Rabbit 2000, and others.
are a vast array of rather incompatible look alike designs.
Personally I use the term x80 for anything direct related to the 8080 (8085, Z80, LR35902) specifically, e.g. in RC.SE answers, when it was about this group. Much the same way as x86 is used for 8086 related CPUs. Usually I'll also mark the area it's about - which in most cases is hardware related, as assemblers already diverge between the Intel and Zilog branches. The LR35902 being a strange beast in between: 8080 hardware but Zilog assembler (*1). While the Rabbit already strays away quite far (*2).
In fact, the Rabbit makes a good case that a unifying x80 term for all these 8080 offspring is challenging at times. While the x86 world is based on a strict upward compatibility with even the newest 2022 member complies with virtually all instructions defined 40+ years ago, x80 chips do diverge a lot in hard and software. So when embracing them as a family, it's a must to point out about which common aspect or similarity this is. Like saying x80 style I/O, or memory interface, etc.
Of course you may just go ahead and include them under x86, after all, it is a direct line going from Datapoint to x86-64, the x80 being a section thereof. Sure, their instruction are renumbered and such, but this already happened when going from Datapoint/8008 to 8080. By acknowledging this, all similar offspring would fall under x86 as well, wouldn't they?
*1 - The point here is the assembler used by its creator, not any later adaption. Of course one could program an 8080 using Z80 mnemonics - the same way one can do this with a 6502 (*3)
*2 - Well, I guess it comes down to opinion - like so oft when it's about kids that diverge :)) While The Rabbit is clearly x80 related, it always felt like a total different CPU to me. It is advertised as Z80/Z180 upgrade, but with more than 30 instructions dropped (8080 and Z80) as useless (*4), (at least) one changed (XTHL), a different interrupt system (8080 and Z80), different memory management (Z180) and complete different I/O handing, it's a terrific diversion from classic 8080/Z80/Z180 style. Don't get me wrong, some changes are wishes come true, like the IOI/IOE prefixes, but they are fundamental changes.
*3 - The 6502 syntax of having one operand within the mnemonic is much due the very simple first generation of cross assemblers used. Unlike Intel (and further more so Zilog) MOS/WDC never switched to a more generic form (Motorola did with the 68k). So, why not MOV A,X
or LD A,X
instead of the kind of upside down TXA
(*5). See this Answer, especially the Sidestep in Time Line: Zilog Z80 section for how the mnemonic side got simplified by Intel and Zilog.
*4 - Calling many nifty 8080 and Z80 Instructions useless in't great. I don't believe doing strlen() in a single instruction (CPIR) is useless :))
*5 - Upside down, as the usual Motorola/MOS syntax is operation+target source as in LDA $00
, while the 'transfers' go operation+source+target.