EOS pros:
1. Scalability-oriented approach
2. More conveniences for developers. This empowers them with the ability to create apps faster.
3. Easy implementation.
4. It doesn't require any computational capacities.

NEM pros:
1. Platform was created considering lessons learned from Ethereum (experience, mistakes, bugs etc)
2. It's really popular in Japan (the world center of crypto economy)
3. Consensus algorythm: Proof-Of-Importance
4. Low energy wastes for supporting the network.