The Airbus cockpit is a dream and systems management is just about as simple as it can get. Coming into the type course from Boeing and McDonnell Douglas experience, I was skeptical of the Airbus fly by wire system, but came to appreciate the sophisticated and elegant implementation.
There will be times you'll be asking yourself "what the hell is it doing now?". Any long-time driver (not I) can attest to this being an occasional annoyance. It is something I've been told you adjust to. I have also been advised one eventually learns to "trust, but verify" the automatics.
The only areas the A320 comes up somewhat short of the competition from a piloting perspective would be moderate to strong crosswind landings, manual flight in moderate to heavy turbulence and when things electronic go wobbly, all situations best avoided if possible on any type, naturally.
From a trainee perspective, systems coverage is overly simplified and often limited to black-box level breakdowns, heavy on logic flow charts and light on engineering details, but this is an industry-wide dumbing down of recent times and not limited to the Airbus.