SpaceX has launched many Orbital missions.
Blue Origin has launched none.
SpaceX has two functional, tested, orbital spacecraft in production.
Blue Origin has a sub-orbital pod with goldfishbowl windows that's not quite ready yet.
SpaceX has successfully partnered with NASA for commercial cargo missions to the ISS.
Blue Origin has not.
SpaceX has landed more than a dozen rockets post-flight.
Blue Origin has landed < 10 sub-orbital rockets.
SpaceX has designs for rockets and spacecraft that might plausibly target inter-planetary travel.
Blue Origin has not gotten to orbit yet.
Don't get me wrong; I want Blue Origin to succeed. However, the slope of their progress graph has been much shallower than SpaceXs. I don't see them ever catching or overtaking SpaceX unless something drastically unforseen happens.
The SpaceX rocket has certain trade-offs. Basically the upper stage is not that powerful compared to various other rockets. This is usually not too bad because they go for the cheapest option. Blue Origin might have a huge advantage there though.
Blue Origin is not in a need of money, this drastically changes things. It seems they went first for nailing a super powerful rocket, then to develop something close to the SpaceX BFR called New Glenn (https://en.wikipedia.org/wiki/New_Glenn).
Note that in various cases people compare expendable versions with reusable versions. Further, SpaceX is often better for lower orbits.
Suggest to follow /r/spacex on reddit. Above is what I learned from reading discussions there.
