This is the list of warships i found most complete for the Allies. Looks like i'll be doing HMS Javelin prior to taking damage from enemy aircraft., just waiting on a book before i start.
Late on the 26th, the Admiralty ordered Operation DYNAMO to commence. Major warships participating in the evacuation of allied troops from the Dunkirk area from 27 May to 4 June were as follows. 
 
Anti-aircraft cruiser – CALCUTTA, 1st Anti-Aircraft Cruiser Squadron (Captain D M Lees)
 
French large destroyers – EPERVIER, 11th Large Destroyer Division (Capitaine de Fregate J J G Bros), LEOPARD, 2nd Large Destroyer Division (Capitaine de Fregate C A Loisel)
 
Destroyers – ANTHONY, 16th Flotilla (Lt Cdr N V J T Thew), BASILISK, 19th Flotilla (Cdr M Richmond), CODRINGTON, 1st Flotilla (Captain GF Stevens-Guille, DSO, D.1), ESK, 20th Flotilla (Lt Cdr R J H Couch), EXPRESS, 20th Flotilla (Captain J G Bickford, D.20), GALLANT, 1st Flotilla (Lt Cdr C P F Brown), GRAFTON, 1st Flotilla (Cdr C E C Robinson, Lt H C J McRea after death of Robinson), GRENADE, 1st Flotilla (Cdr R C Boyle), GREYHOUND, 1st Flotilla (Cdr W R Marshall-A'Dean), HARVESTER, 9th Flotilla (Lt Cdr M Thornton), HAVANT, 9th Flotilla (Lt Cdr A F Burnell-Nugent), ICARUS, 20th Flotilla (Cdr C D Maud), IMPULSIVE, 20th Flotilla (Lt Cdr W S Thomas), INTREPID, 20th Flotilla (Cdr R C Gordon), IVANHOE, 20th Flotilla (Cdr P Hadow), JAGUAR, 7th Flotilla (Lt Cdr J F W Hine), JAVELIN, 7th Flotilla (Cdr A F Pugsley), KEITH, 19th Flotilla (Captain E L Berthon DSC, D.19), MACKAY, 11th Flotilla (Cdr G H Stokes), MALCOLM, 16th Flotilla (Captain T E Halsey, D.16), MONTROSE, 17th Flotilla (Cdr C R Parry), SABRE, attached destroyer (Cdr B Dean, ret), SALADIN, 11th Flotilla (Lt Cdr L J Dover), SCIMITAR, 16th Flotilla (Lt R D Franks), SHIKARI, 16th Flotilla (Cdr H N A Richardson), VANQUISHER, 11th Flotilla (Lt Cdr C B Alers-Hankey until the 29th (sick), Cdr W C Bushell after the 30th), VENOMOUS, 16th Flotilla (Cdr J E H McBeath), VERITY, 15th Flotilla (Cdr A R M Black, wounded on the 27th, Lt E L Jones from the 27th), VIMY, 11th Flotilla (Lt Cdr R G K Knowling, lost on the 28th en route to Dunkirk, Lt A P W Northey for the rest of this trip, Lt Cdr M W Ewart-Wentworth from the 30th), VIVACIOUS, 17th Flotilla (Lt Cdr F R W Parish (sick), Cdr E F V Dechaineux RAN on the 30th; this officer was the commanding officer of destroyer EGLINTON under construction), WAKEFUL, 17th Flotilla (Cdr R L Fisher), WHITEHALL, 15th Flotilla (Lt Cdr A B Russell), WHITSHED, 18th Flotilla (Cdr E R Conder), WILD SWAN, 18th Flotilla (Lt Cdr J L Younghusband DSC), WINCHELSEA, 11th Flotilla (Lt Cdr W A F Hawkins), WINDSOR, 18th Flotilla (Lt Cdr P D H R Pelly), WOLFHOUND, Convoy C of Rosyth Command (Lt Cdr J W McCoy), WOLSEY, Convoy C of Rosyth Command (Cdr C H Campbell), WORCESTER 18th Flotilla (Cdr J H Allison)
 
Polish BLYSKAWICA 1st Flotilla (Cdr Stanislaw Nahorski ORP)
 
French destroyers of the 2nd Destroyer Flotilla – BOURRASQUE, 4th Division (Capitaine de Fregate R G A Fouque), CYCLONE, 6th Division (Capitaine de Vaisseau Y F C A M Urvoy de Portzamparc), FOUDROYANT, 5th Division (Capitaine de Corvette P L A Fontaine), MISTRAL, 6th Division (Capitaine de Corvette E R Lavene), SIROCCO, 6th Division (Capitaine de Corvette G P C M J M de Toulouse-Latrec Montfa)
 
Sloop – BIDEFORD, 1st Sloop Division (Lt Cdr J H Lewes)
 
Patrol sloops - GUILLEMOT, 2nd Anti-Submarine Striking Force (Lt Cdr H M Darell-Brown), KINGFISHER, Experimental Ship (Lt Cdr G A M V Harrison), MALLARD, 1st Anti-Submarine Striking Force (Cdr The Hon V Wyndham-Quinn), SHEARWATER, 2nd Anti-Submarine Striking Force (Lt Cdr C F Powlett), SHELDRAKE, 1st Anti-Submarine Striking Force (Lt Cdr A E T Christie), WIDGEON, 2nd Anti-Submarine Striking Force (Lt Cdr R Frederick), 
 
French torpedo boats - BOUCLIER, 14th Torpedo Boat Division (Capitaine de Fregate C M H de La Fourniere), BRANLEBAS, 11th Division (Capitaine de Corvette H M de Cacqueray), FLORE, 14th Division (c J M P Roussel de Courcy), L'INCOMPRISE, 11th Division (Capitaine de Corvette A A P Gras)
 
French sloops - AMIENS (anti-aircraft ship), attached sloop (Capitaine de Corvette M E J Monick), ARRAS, 1st Sloop Squadron (L V J P M Bidal), BELFORT, Naval Aviation Tender (Capitaine de Corvette P A Viel), LA BOUDEUSE, 2nd Sloop Squadron (Capitaine de Corvette M F L Hilly), COMMANDANT DELAGE, 2nd Sloop Squadron (Capitaine de Corvette A R P Froget), COMMANDANT RIVIERE, 2nd Sloop Squadron (Capitaine de Corvette J F U M De Gantes), DILIGENTE, Naval Aviation Tender (L V P H M Le Roux), L'IMPETUEUSE, 2nd Sloop Squadron (Capitaine de Corvette F M J Bachy)
 
Gunboats – LOCUST (Lt A N P Costobadie), MOSQUITO, both Thames Estuary Defense Flotilla (Lt D H P Gardiner)
 
Minesweepers - ALBURY, 5th Mine Sweeping Flotilla (Lt Cdr C H Corbet-Singleton), BRIGHTON BELLE, 10th Flotilla (Temporary Lt L K Perrin RNVR), BRIGHTON QUEEN, 7th Flotilla (Temporary Lt A Stubbs RNR), DEVONIA, 7th Flotilla (Temporary Lt J Brotchie RNVR), DUCHESS OF FIFE, 12th Flotilla (Temporary Lt J Anderson RNR), DUNDALK, 4th Flotilla (Lt CdrF A I Kirkpatrick), EMPEROR OF INDIA, 10th Flotilla (Temporary Lt C Pawley RNR), FITZROY, 4th Flotilla (Lt Cdr R A Forbes), GLEN AVON, 8th Flotilla (Temporary Lt B H Loynes RNR), GLEN GOWER, 8th Flotilla (Acting Cdr M A O Biddulph (SO 8th Flotilla), GOSSAMER, 5th Flotilla (Lt Cdr R Ross, SO 5th Flotilla), GRACIE FIELDS, 10th Flotilla (Temporary Lt N Larkin RNR, Temporary Lt A C Weeks RNVR), HALCYON, 6th Flotilla (Lt Cdr J M S Cox DSC with Cdr E P Hinton MVO, SO 6th Flotilla), HEBE, 1st Flotilla (Cdr J S Temple), KELLET, 5th Flotilla (Cdr R C Hasket-Smith), LEDA, 5th Flotilla (Lt Cdr H Unwin), LYDD, 5th Flotilla (Lt Cdr R C D Haig), MARMION, 12th Flotilla (Temporary Lt H C Gaffney RNVR), MEDWAY QUEEN, 10th Flotilla (Temporary Lt A T Cook RNR), NIGER, 4th Flotilla (Cdr St J Cronyn, S O 4th Flotilla), ORIOLE, 12th Flotilla (Temporary Lt E L Davies RNR), PANGBOURNE, 5th Flotilla (CdrF Douglas-Watson), PLINLIMMON, 7th Flotilla (Lt G P Baker RNVR), PRINCESS ELIZABETH, 10th Flotilla (Temporary Lt C J Carp RNVR), QUEEN OF THANET, 7th Flotilla (Temporary Cdr S P Herival RNVR, SO 7th Flotilla), ROSS, 5th Flotilla (Acting CO Lt K A Gadd RNR, Cdr J P Apps Rtd), SALAMANDER, 4th Flotilla (Lt Cdr L J S Ede), SALTASH, 5th Flotilla (Lt Cdr T R Fowke), SANDOWN, 10th Flotilla (Acting Cdr K M Greig DSO Rtd, SO 10th Flotilla), SHARPSHOOTER, 1st Flotilla (Lt A E Doran), SKIPJACK, 6th Flotilla (Lt Cdr F B Proudfoot), SNAEFELL, 8th Flotilla (Temporary Lt F Brett RNVR), SPEEDWELL, 6th Flotilla (Lt Cdr F R G Maunsell), SUTTON, 4th Flotilla (A/Cdr G M Temple, SO 4th Flotilla), WAVERLEY, 12th Flotilla (Lt S F Harmer-Elliot RNVR, SO 12th Flotilla), WESTWARD HO, 7th Flotilla (Temporary Lt A L Braithwaite RNVR), WHIPPINGHAM, unattached (Temporary Lt E Reed RNR)
 
In the 4th, 5th, 6th Mine Sweeping Flotillas, only the 4th Flotilla's SELKIRK and ELGIN and 6th Flotilla's HARRIER and HUSSAR were absent from DYNAMO, all under repairs. The 6th Minesweeping Flotilla's SPEEDWELL was under repair at Chatham from 26 to 30 May 
 
Motor torpedo boats - MTB.16, 1st Motor Torpedo Boat Flotilla (Lt P F S Gould), MTB.22, 4th Flotilla (Lt A B Cole), MTB.67,10th Flotilla (Lt C G Anderson), MTB.68, 10th Flotilla (Lt R K L Walker RNVR), MTB.102, 3rd Flotilla (Lt C W S Dreyer), MTB.107, 10th Flotilla (Lt J Cameron RNVR)
 
Motor Launch – ML.100, 3rd Motor Torpedo Boat Flotilla (Lt W L Stephens RNVR)
 
Motor Anti-Submarine Boats - MA/SB.5 (Lt E M Thorpe), MA/SB.6 (Lt W G Everitt, SO 1st MA/SB Flotilla), MA/SB.7 (S/Lt A Ecclestone), MA/SB.10, all 1st MA/SB Flotilla (Lt R G H G Eyre)
 
French motor torpedo boats - VTB.23, VTB.24, VTB.25, VTB.26, VTB.27, VTB.28, CH.5 (LV M A Detroyat), CH.6 (EV Desmoutis, CH.7, CH.11 (EV Montillier), 42 (P M T Y Jule), C.106
Hope this helps...
steve