LF RFID chip with protocol select
We are using this module in one of our projects and so far i can really recommend it.

[EDIT]
I did not notice the low frequency requirement and the proposed reader is using 13.56MHz. But the same company has some 125kHz readers as well, those may have similar options to exclude specific transponder types. Depending on the requirements, it could also be an option to "filter" specific reader types in software as soon as a tag is detected.
[/EDIT]

I am not sure if this is what you need, but you can configure the module to exclude specific transponder types from the transponder search. 


  Don’t search for ISO14443A transponders
  Don’t search for ISO14443B transponders
  Don’t search for PicoPass / ICLASS transponders
  Don’t search for SRX transponders
  Don’t search for ISO15693 transponders  


FYI, the following transponder types are supported:


  00  Mifare® Mini
  01  Mifare® Classic 1K
  02  Mifare® Classic 4K
  03  Mifare® Plus S
  04  Mifare® Plus X
  05  Mifare® Ultralight / Ultralight C
  06  Mifare® DESFire
  0F  Unknown ISO14443A transponder
  10  I•Code SL2
  11  I•Code SL2-S
  12  Tag-it™ HF-I Plus Inlay
  13  Tag-it™ HF-I Plus Chip
  14  Tag-it™ HF-I Standard
  15  Tag-it™ HF-I Pro
  16  ST 24LR16 Dual Interface EEPROM
  17  ST 24LR64 Dual Interface EEPROM
  18  Fujitsu MB89R118
  19  Fujitsu MB89R119
  1F  Unknown ISO15693 transponder
  30  Picopass / ICLASS transponder
  40  SRX transponder
  80  ISO14443B transponder  


Following my link, there is a PDF with technical specifications available, but you have to contact their support for the extensive technical handbook.