Their market cap is comparable, but that’s after Boeing’s stock took a hit. About a 50% cut over the last 5 years. Airbus’ stock is slightly higher than it was 5 years ago.
Remember that Boeing is all over the military market on top of their civilian programs. Airbus does do a few conversions of their civilian aircraft for military use (transport and aerial refueling, mostly), but it’s not a huge part of their revenue. Boeing does that stuff (the hump in the 747, in particular, has led to some specialized uses), plus more specialized designs. They’re still cranking out new versions of the F-15, for example. In fact, military stuff is the largest part of Boeing’s revenue.