Peterborough, Loughborough, Market Harborough and probably many more.
There's a few... Scarborough & Loughborough are two... feel free to add to this.
A few of many are Market Harborough, Attleborough, and Loughborough. In addition many more end in the equivalent - burgh or -brough.
Carlow Borough - UK Parliament constituency - ended in 1885.
Galway Borough - UK Parliament constituency - ended in 1918.
Eastbourne
bancroft
Honresfeld
Norwich Ipswich Greenwich
Stevenage and Wantage
I Have Found A LIst Of 10 That End In Bury:BuryBanburyCanterburyGlastonburySalisburyShrewsburyWednesburyWelburyAmesburyAylesbury
aysgarth
Carlow Borough - UK Parliament constituency - was created in 1801.
Galway Borough - UK Parliament constituency - was created in 1801.
None, but some end in 'minster', like Warminster, Upminster.