I'd definitely recommend mead-brewing. I simply can't overstate how much advantage it has over most other brewing projects in terms of simplicity, or strength (if you like), or versatility (with how broadly you can mess with the recipe and still come out with different types of delicious, or strength - basically, as much as you like, up to 19%). Since honey's also a fairly effective natural antibiotic, it's even got an edge in resisting infection. The truth is that you don't even need to let it ferment for such a long time either, if you feel like doing a sparkling mead. I just prefer it still, myself, but it's just a matter of taste.
With the glass carboy thing: I've got enough biochem-type lab experience to confirm that the tiny bit of difference in O2 penetration that this type of slightly less effective seal leads to is definitely the sort of thing that really can make a difference in the final chemical composition of a solution going through various types of biochemical processes. It's also considered sort of as general knowledge among brewers that you'll tend to get worse results from long-term fermentation in plastic receptacles, particularly wide-rimmed ones.
That said? Just because it's definitely true that various types of reactions can be seriously affected by such a marginal increase in oxygen flow, and that the seal on a plastic bucket does marginally allow more oxygen flow than a stoppered carboy, doesn't mean that the fermentation process for a given yeast in a given solution is necessarily so sensitive - what's true of some reactions isn't necessarily true of all reactions, so my lab experience doesn't really support the idea so much as it simply fails to refute. I've only done a couple of multi-week runs in plastic buckets myself, and while they were less than perfect in the outcome (nothing seriously wrong, really just slightly impressive than what I've done in glass for that time), it's been nothing of such a magnitude I'm really confident calling it real evidence that the bucket itself made any detectable impact. In fact, I'd definitely say that from what I've seen, most of the people that absolutely swear by going all-glass are seriously overestimating how much difference it really makes. I certainly wouldn't say a glass carboy is absolutely required for long-term fermentation - it's just my take that, since the ingredient cost of a single spoiled batch (at high enough ABV's) can well outweigh the cost of said carboy, I think springing the extra money to boost your chances as well as you can is a pretty solid investment, money-wise.