Can a person on a fixed-term contract make any claims on the employer if the contract is terminated?

If a fixed-term contract is terminated by the employer before the agreed expiry date, the employee can claim for breach of contract, or for unfair dismissal and/or redundancy pay if they have sufficient continuity of service. On expiry of a fixed-term contract, there can be no breach of contract claim, but there can be unfair dismissal and redundancy claims.