Will we ever reach a point where, as an audience, we are so desensitised that we don’t need the BBFC anymore?

Race relations:
Prevent discrimination on grounds of race, colour, nationality, ethnic and national origin.
Obscene publications:
Offence for publishing obscene material, repealing the common law offence of obscene libel which was previously used, and also allows Justices of the Peace to issue warrants allowing the police to seize such materials.
Sex discrimination:

Protection of children:
Child pornography and the sexual exploitation of children
Official secrets act:
Legislation that provides for the protection of state secrets and official information, mainly related to national security.
Libel law:
Communication of a statement that makes a claim, expressly stated or implied to be factual, that may give an individual, business, product, group, government, or nation a negative image. It is usually a requirement that this claim is false and that the publication is communicated to someone other than the person defamed (the claimant).
Cinematography films (animal):
Infliction of suffering or harm upon animals, other than humans, for purposes other than self-defence. More narrowly, it can be harm for specific gain, such as killing animals for food or for their fur. Diverging viewpoints are held by jurisdictions throughout the world.

PCC (press complaints commission):
Independent body which administers the system of self-regulation for the press. It does so primarily by dealing with complaints, framed within the terms of the Editors' Code of Practice, about the editorial content of newspapers and magazines (and their websites, including editorial audio-visual material) and the conduct of journalists.
Strive to protect the rights of individuals, while at the same time preserving appropriate freedom of expression for the press.
The PCC acts by:
•negotiating remedial action and amicable settlements for complainants;
•issuing rulings on complaints;
•using published rulings as a means of guiding newsroom practice across the industry;
•publicly censuring editors for breaches of the Code;
•passing on pre-publication concerns to editors to prevent the Code being breached;
•passing on requests to editors that their journalists cease contacting individuals, and so prevent media harassment;
•issuing formal guidance, based on its interpretation of the Code, to the industry on important issues;
•instigating its own investigations under the Code in the public interest where appropriate;
•conducting training seminars for working journalists and editors;
•liaising with other press councils internationally.