Both NEO and EOS are healthy competitors of ETH. When you compare consensus algorithm of EOS and NEO, I think NEO have the upper hand and EOS's Delegated proffered of stakes gives more power to the arbitrator in the constitution and other people's who don't have powers in EOS constitution can't take action against them if they are not happy with the arbitrator decision. Where as NEO's Delegated Byzantine Fault Tolerance (dBFT) consensus algorithm is same but gives powers to the people's in their ecosystem.
EOS realised their mistake of giving more power to the arbitrators and now planning to implement their system by bringing CONSTITUTION 2.0.
From investment point of views both of this coin are promising and can give 10x returns when market will pick bull run.