Lyxen
Great Old One
5e level 1e PCs are exceptionally vulnerable; I tried giving them a hp buffer which works ok, but now I think just starting at 2nd (for 'trained') or 3rd (for 'experienced') level characters is best.
Well, they are about as vulnerable as Lvl 1 PC of 3e, which is indeed way less than 4e, but still way more than AD&D characters...

It's true that, in a sense, with a 5e which is, if you play it as written, a bit of an "easy mode" with fairly simple rules, easy healing and characters which are not that fragile, 1st level stands out a bit with clearly deadlier situations. For me, it's not a problem, and having characters die at such an early stage is also memorable while not hitting your story too much if you are playing a long campaign.
I'm also loath to reduce the playing range of the game, I think it's really good that it encompasses such a variety of styles but after that it's also perfectly OK to like some styles more than others.