Not ALL the titles that are obtainable are listed below, more being added as we go.

AKC Titles (titles given by American Kennel Club)

Ch. Champion : Dogs must acquire 15 points, including 2 majors won under different judges and at least one point under a third different judge.
FC Field Champion : Obtained by winning Best In Field at the National Lure Coursing Championship or acquiring 15 points, with at least 2 firsts with at least 3 points under 2 different judges or panels and 1 point with at least 1 of the same breed in competition.
DC Dual Champion : Any dog that has been awarded the title of Champion of Record (Ch.) may be designated as a "Dual Champion," after it has also been awarded the title of Field Champion (FC) or Herding Champion (HC)
JC Junior Courser : A hound running alone shall receive certification from a Judge on one date, and a second certification from a different Judge at a later date, stating that the hound completed a 600-yard course with a minimum of four (4) turns. The hound must complete the course with enthusiasm and without interruption. The two runs can be on the same date at or in conjunction with a National Breed Specialty
SC Senior Courser : 1) Must be eligible to enter the open stake. That requires the dog to have obtained at least one of the following: AKC Junior Courser title or American Kennel Club Field Champion title. 2) The hound must run with at least one other hound. 3) Must receive qualifying scores at four (4) AKC-licensed or member trials, under two different Judges or judging panels.
MC Master Courser : The Master Courser title will be awarded to hounds that have acquired the Senior Courser title and that have earned an additional twenty-five (25) qualifying scores (with competition) in either the Open, Open Veteran or Specials stake at AKC licensed or member club lure coursing trials
LCX Lure Courser Excellent : Any dog that has been awarded the title of Field Champion and has earned 45 additional championship points will be awarded the suffix title of Lure Courser Excellent (LCX). The title of Lure Courser Excellent is a cumulative title, each time the dog accrues an additional 45 championship points it would be eligible to receive the next title level. (LCX 2, LCX 3, LCX 4, etc.)
RN AKC Rally® Novice : The letters RN may be added after a dog's name when it has been certified by 2 different judges to have received qualifying scores in Novice classes at 3 licensed or member rally trials.

ASFA Titles (titles given by American Sighthound Field Association)
FCh Field Champion : A dog has to attain 100 points in the Open Stake and within those 100 points, they also have to receive either two 1st placements or one 1st placement and two 2nd placements and those placements must be won by defeating at least one other dog.
LCM Lure Courser of Merit : After receiving the title of FCh, a hound continues to compete and receive four 1st placements with competition and 300 additional points in the Field Champion Stake, then they are awarded the LCM title.  When a hound completes the LCM title it may continue to compete for addition titles.  After an additional four 1 placements with competition and an additional 300 points, the title of LCM-2 shall be awarded.  This process would be indefinitely repeated for LCM-3, LCM-4, and so on.
V-FCh Veteran Field Champion : A dog 7 years or older has to attain 75 points from the Veteran Open Stake, they also have to receive either two 1st placements or one 1st placement and two 2nd placements and those placements must be won by defeating at least one other dog.

V-LCM

Veteran Lure Courser of Merit : After receiving the title of V-FCh, a hound continues to compete and receive four 1st placements with competition and 200 additional points in the Veteran Field Champion Stake, then they are awarded the V-LCM title.  When a hound completes the V-LCM title it may continue to compete for addition titles.  After an additional four 1 placements with competition and an additional 200 points, the title of V-LCM-2 shall be awarded.  This process would be indefinitely repeated for V-LCM-3, V-LCM-4, and so on.


WRA Titles (titles given by Whippet Racing Association)

CR Companion Racer : A hound must obtain a total of 15 points, they must complete the meet to receive these points.
CRX Companion Racer Excellent : After attaining the CR title, a hound must obtain a total of 60 points, they must complete the meet to obtain these points.  After the CRX title is achieved, it will take the place of the CR title.  When a hound completes the CRX title it may continue to compete for addition titles.  After an additional 60 points (meets must be completed), the title of CRX-2 shall be awarded.  This process would be indefinitely repeated for CRX-3, CRX-4, and so on.
WRCh Whippet Race Champion :
WRChX Whippet Race Champion Excellent :


NOTRA Titles (titles given by National Oval Track Racing Association)

OTR Oval Track Racer :
OTRM Oval Track Racer Master :
ORC Oval Race Champion :
SORC Supreme Oval Race Champion :


Miscellaneous Titles

BIF Best In Field : You will see BIF in front of the name of a dog that has won a Best In Field win at either an AKC and/or ASFA lure coursing trial .  M will be added to the front of BIF  (to be MBIF)  when a dog has won more then one Best In Field win.
BIS Best In Show : You will see BIS in front of the name of a dog that has won a Best In Show win at an  all-breed AKC show.  M will be added to the front of BIS  (to be MBIS)  when a dog has won more then one Best In Show win.
SBIS Specialty Best In Show : You will see SBIS in front of the name of a dog that has won a Specialty Best In Show (or Specialty Best of Breed).  M will be added to the front of SBIS  (to be MSBIS)  when a dog has won more then one Specialty Best In Show (Best of Breed) win.
NSBIS National Specialty Best In Show : You will see NSBIS in front of the name of a dog that has won a National Specialty Best In Show (or National Specialty Best of Breed).  M will be added to the front of NSBIS  (to be MNSBIS)  when a dog has won more then one National Specialty Best In Show (Best of Breed) win.
ROM Register of Merit :

CGC

Canine Good Citizen :