In England, the Sex Discrimination (Gender Reassignment) Regulations 1999 came into force on 1 May 1999. These transgender discrimination laws can now be found in the Equality Act 2010. Also, the Gender Recognition Act 2004 allows a transgender person to obtain legal recognition for their acquired gender - and change the recorded sex on their birth certificate from male to female or vice versa.
Disability Discrimination
See the below comments about the Rights of Persons with Disabilities Bill.