Well, Mr. Jones in Animal Farm and the ideas in 1984 share the aspect of false propaganda. Mr. Jones probably gives the animals false hopes or lies about their situation. In 1984, the Party is constantly spreading false information through propaganda to control the minds of the people. Also, both represent a system where the ones in power benefit at the expense of the majority. Mr. Jones benefits from the animals' labor while the Party in 1984 benefits from the subjugation of the citizens.
The main similarity is the control mechanism. Mr. Jones controls the animals through physical force and the threat of starvation. In 1984, the Party controls the people through surveillance, thought police, and the threat of punishment. In both cases, the ruled are in a state of fear. The animals fear Mr. Jones' whip, and the people in 1984 fear being caught by the Thought Police for having unorthodox thoughts. This shows how power is maintained through intimidation in both scenarios.
One similarity is the abuse of power. Mr. Jones misuses his power over the animals, and in 1984, the Party misuses its power over the people. Another is the lack of freedom for the subordinates. The animals under Mr. Jones have little freedom, and the citizens in 1984 are also highly restricted.