It's very safe. Designing a new aircraft from scratch is extremely expensive and there is very little to gain from that investment unless it's a radical design like the A380 (which was actually a financial failure). Most newer aircraft are just improved older designs which have new engines and different materials etc.
The Boeing issues seem to come down to quality and they have rightly been criticised for that. However, Airbus aircraft sometimes have these issues too. You just won't hear about them because Boeing has a target painted on their back. Either way though you're more likely to be hit by a meteorite then be in a plane crash.