A work in progress. I wanted to order known offers by college to make it easier to see if people are on your course at your college. Currently the colleges with the most TSR offers are Christ's, Pembroke and St John's (12), and the course with the most TSR offers is currently PhysNatSci.
Christ's
COMPUTER SCIENCE - Harryg_95 (Unconditional)
ENGINEERING - jneill's son (A*A*A, 1 in STEP)
ENGINEERING - MyPrecious (Grades achieved, 1 needed in STEP)
HSPS - lilza (A*AA)
LAW - 13ngj4 (IB 42, 776 at Higher)
MEDICINE - lilixxx1000 (A*AA and A in FM AS)
MML (FRENCH AND SPANISH) - griffinface (A*AA)
PHILOSOPHY - tomfailinghelp (A*AA)
NATSCI BIOLOGICAL - DiddyDodd (A*A*A)
NATSCI PHYSICAL - Rose_Wavy (A*A*A)
NATSCI PHYSICAL - L'Evil Fish (A*A*A)
NATSCI UNSPECIFIED - Ch@rl0tte (A*A*A)
Churchill
COMPUTER SCIENCE W/MATHS - TVIO (A*A*A*A, 1,2 in STEP II and III)
HSPS - Elilee (IB 42, 776 at Higher)
MATHEMATICS - Davothebigafro (A*A*A*, 1,1 in STEP II and III)
MEDICINE - GuitaringMedic (A*A*A)
MEDICINE - Doomlar (A*A*AA)
NATSCI BIOLOGICAL - EllaJayne (A*A*A)
NATSCI PHYSICAL - Pilz (A*A*A)
NATSCI UNSPECIFIED - tylerwillowjesse (A*A*AA)
Clare
ENGLISH - ShonaM6920 (A*AA)
HISTORY - littlemorrissey (A*AA)
HISTORY - IDGE (A*AA)
MML - JayKaur (A*AA)
Corpus Christi
ENGLISH - JamesJL (A*AA)
HSPS - paapercrane
Downing
ECONOMICS - brookew1996 (A*AA)
HSPS - sw16123 (IB, 40 points with 776 at Higher)
MEDICINE - aprocrastinator (A*A*A)
NATSCI UNSPECIFIED - rubisco (IB, 41 points)
NATSCI PHYSICAL - SophieKitching
Emmanuel
ECONOMICS - EHZ17 (A*AA)
ENGLISH - niamhryle (A*AA)
ENGLISH - paradoxicalme (A*AA)
FRENCH AND ARABIC - KnittyKitty (A*AA)
MATHEMATICS - Dalek1099 (A*A*A, 1,1 in STEP II and III)
MATHEMATICS - DomStaff (A*A*A, 1,1 in STEP II and III)
MATHEMATICS - Mawar3 (A*A*A, 1,1 in STEP II and III)
MEDICINE - Star Light
MML - mmmaaattt (A*AA)
NATSCI BIOLOGICAL - Mini-Me (Unconditional)
Fitzwilliam
MATHEMATICS - physicsmaths (A*A*A, 1,1 in STEP II and III)
MATHEMATICS - rhiam (A*A*A, 1,1 in STEP II and III)
MEDICINE - dongeezy (A*A*A)
NATSCI PHYSICAL - drowninginsound (A*A*AA)
Girton
ENGINEERING - Actaeon (A*A*A)
ENGLISH - Bradshawsl (A*AB)
HSPS - cappunno18 (A*AA)
Gonville and Caius
ECONOMICS - ProbablyPassing (A*AA)
LAW - advalorem (IB, 40 points with 776 at Higher)
LAW - Seralind (A*AA)
MEDICINE - Clai (A*A*A)
MML - ChrisLeHobbit (A*AA)
NATSCI PHYSICAL - Protoxylic (A*A*A)
Homerton
HISTORY - alittlebitpurdy (A*AA)
Jesus
ENGLISH - Ch_P236 (A*AA)
ENGLISH - leahmshaya (Deferred)
GEOGRAPHY - SCJ9 (A*AA)
MEDICINE - Choyster54
NATSCI BIOLOGICAL - Fishermea (A*A*AA)
NATSCI PHYSICAL - TiiMMYz (A*A*A*)
King's
HSPS - friendlyperson (A*AA)
MATHEMATICS - KongShou (A*A*A, 1,1 in STEP II and III)
MATHEMATICS - EatMoreThanPi (A*A*A, 1,1 in STEP II and III)
MML (Spanish and Russian) - elaras (A*AA)
Magdalene
ENGLISH - HazStozBraz (A*A*A)
HISTORY - JMB1 (Unconditional)
HSPS - ILovePancakes (IB, 42 points with 776 at HL)
MEDICINE - TheCommander (A*A*A*A)
NATSCI PHYSICAL - Thorsas (A*A*A*A)
NATSCI UNSPECIFIED - RuthHarvey (A*A*A*A)
Murray Edwards
ENGLISH - allypetal (A*AA)
ENGLISH - Fawkesgirl33
MML (FRENCH AND SPANISH) - ak24
Newnham
ENGINEERING - chee5y (A*A*AA)
ENGLISH - fantasyfaerie (A*AA)
HSPS - self-loathing (A*AA)
Pembroke
COMPUTER SCIENCE - Javalar12
ECONOMICS - ScienceGeek! (A*AAA)
ENGINEERING - Elcor (A*A*A)
ENGINEERING - Necrosyrtes (A*A*AA)
ENGINEERING - NightStrider (A*A*A)
ENGLISH - Mil Lee (A*AA)
LAW - Rivicali (A*AA)
MATHEMATICS - Jessb_3125 (A*A*A, 1,1 in STEP II and III)
NATSCI BIOLOGICAL - owent4 (A*A*A*)
NATSCI PHYSICAL - oliverismonty (A*A*A)
NATSCI PHYSICAL - mollyh77 (A*A*AA)
THEOLOGY - Jasey (A*AA)
Peterhouse
CLASSICS - K-Drew (A*AA)
CLASSICS 4 YEARS - Robertus (A*AA)
ECONOMICS - Renascence (A*A*A)
ENGINEERING - C-king (A*A*A, 1 in STEP I)
LAW - MaxReid (A*AA)
MATHEMATICS - Inmuhlay (A*A*A, 1,1 in STEP II and III)
Queens
CHEMENG VIA ENG - Basilla (Unconditional)
COMPUTER SCIENCE - andywells (A*A*A)
ECONOMICS - NinjaPandaa (A*AA)
ENGLISH - Blazora (Unconditional)
HSPS - Lil Miss Boring (A*AA)
NATSCI PHYSICAL - cerlohee (A*A*A, A in FM AS)
PBS - maya_fooks (A*AA)
Robinson
LAW - HopefulLawyerHG
MATHEMATICS WITH PHYSICS - delarsea
NATSCI UNSPECIFIED - Holly.1 (AAAA)
Selwyn
ECONOMICS - stardude8
THEOLOGY - oonaghs7 (A*AA)
VETERINARY MEDICINE - ev391 (A*A*A)
Sidney Sussex
ENGINEERING - Fanta4TheBanter (A*A*AA)
ENGINEERING - Timhav (A*A*AA)
HISTORY OF ART - englishrose_96 (A*A*A)
PHILOSOPHY - tara8000
St Catherine's
ECONOMICS - p10jkle (A*AA)
ENGLISH - sos_ (A*AA, Deferred)
MML - draculina (A*AA)
St John's
ECONOMICS - RuairiJH (A*AA)
ECONOMICS - UKVILLA (A*A*AA)
ECONOMICS - nihi1 (A*A*A)
ECONOMICS - ankd77 (A*AA)
GEOGRAPHY - IKirby (A*AA)
MATHEMATICS - Alex_Aits (A*A*A)
MATHEMATICS - Wesbian (A*A*A, 1,1 in STEP II and III)
MEDICINE - MangoVortex
MML (FRENCH AND SPANISH) - GSinghK (A*AA)
NATSCI PHYSICAL - This Is My Swamp (A*A*AA)
VETERINARY MEDICINE - AmberEyes (A*A*A)
VETERINARY MEDICINE - laurensmiley97 (A*A*A)
Trinity
COMPUTER SCIENCE - jadeit
ECONOMICS - username42 (A*A*A)
LAW - bored565 (Unconditional)
MATHEMATICS - 08bkcomp (A*A, 1 in STEP III)
MATHEMATICS - Cryptophage (A*A*, 1,1 in STEP II and III)
MATHEMATICS - tysonmaniac (A*A, S,1 in STEP II and III)
MATHEMATICS - Wild Cat (A*A*A, 1,1 in STEP II and III)
MML (GERMAN AND RUSSIAN) - SnowyGreyWolf (A*AA)
Trinity Hall
ARCHITECTURE - ashyriddle (A*AA)
HSPS - Wist (Unconditional)
MATHEMATICS - Omghacklol (A*A*A, S,1 in STEP II and III)
NATSCI PHYSICAL - gianamar (A*A*AE)
- there are others with pool offers but they don't know their college yet.