Type rated on both !
A lot of comments from one side of the fence or the other, I am currently type rated on both the A320 and B737NG.
The A320 has the most comfortable cockpit by far, the systems presentation is light years ahead of the B738 and it also has a few very good features in the Nav system, someone commented on the Boeing heading bug above, I agree that Airbus have that one right!
The B738 FMC is a bit more user friendly with VNAV avalable in HDG but other wise these are much the same except with some earlier A320 FNC's you could execute a function with one press of the button....not a good idea.
To go from FMC navigation to conventional the Boeing is by far the best and so it a more flexible real world tool when things get changed at the last moment.
When things get rough in terms of weather the Boeing is far better in turbulence and crosswinds, for some reason the A320 flight control system can't quite get things right when the going gets really rough.
The Airbus is a mess when things go wrong, the ECAM tis a good idea but then you find yourself going into a paper checklist and maybe the FCOM...... For any problem the QRH is the place to go on the Boeing.........simples !!!
Both are very reliable and safe aircraft but on the whole the disadvantages of the Boeing are not enough to out weigh the advantages of the Airbus, when things are going well the Airbus is the more comfortable place to be....... But when the trouble starts the Boeing offers a less sophisticated and more flexible way out of your troubles and gives you more time to think about things.
No doubt some will have other opinions !