Four-time champions Wolverhampton Wanderers have been drawn away to Oldham Athletic in the first round of the FA Cup.
Former winners Portsmouth face a trip to League One side Stevenage, while Rotherham United play host to Bradford City.
Coventry City, who won the tournament in 1987, travel to AFC Wimbledon, and there is an away tie for Sheffield United at Colchester United.
The draw's lowest-ranked team Daventry Town have been given a trip to League Two Chesterfield.
All ties will be played in the weekend of November 9.
FA Cup first-round draw in full:
Morecambe vs. Southend United Walsall vs. Shrewsbury Town Boreham Wood vs. Carlisle United St Albans City vs. Mansfield Town MK Dons vs. FC Halifax Town Bristol Rovers vs. York City Tamworth vs. Cheltenham Town Grimsby Town vs. Scunthorpe United Bury vs. Cambridge United Corby Town vs. Dover Athletic Colchester United vs. Sheffield United Oxford United vs. Gateshead Hartlepool United vs. Notts County Wrexham vs. Alfreton Town Chesterfield vs. Daventry Town Bristol City vs. Dagenham & Redbridge AFC Wimbledon vs. Coventry City Preston North End vs. Barnet Bishop's Stortford vs. Northampton Town Burton Albion vs. Hereford United Rotherham United vs. Bradford City Gillingham vs. Brackley/Barrow Salisbury vs. Ebsfleet/Dartford Accrington Stanley vs. Tranmere Rovers Brentford vs. Staines Town/Poole Town Stevenage vs. Portsmouth Shortwood United/Aldershot vs. Port Vale Leyton Orient vs. Southport Peterborough United vs. Exeter Torquay United vs. Rochdale Braintree Town vs. Newport County Oldham Athletic vs. Wolverhampton Wanderers Worcester City/Lincoln City vs. Plymouth Argyle Bradford Park Avenue/Kidderminster Harriers vs. Hemel Hempstead Town/Sutton United Hednesford Town vs. Crawley Town Stourbridge vs. Biggleswade Town Welling United vs. Luton Town Macclesfield Town vs. Swindon Town Wycombe Wanderers vs. Crewe Alexandra Gloucester City vs. Fleetwood Town