Achievements and Feat cards

Already it seems I have overlapped ideas.

Achievements and Feat cards. Surely these are the same? Lets recap where I ended up with these:

Feats are achievemen... there, they are the same!

How are they different? Achievements, from my pondering, are born of accumulating numbers - be they kills, money, etc. Feats are overcoming a challenge - a milestone. Should they be seperate entities on this small difference? Yes and No. Why not?

Do all feats grant bonuses? They all give or grant something.
Do all achievements grant bonuses? In my mind no, they are a 'certificate'. Should they give a bonus and if so how?

I'm not sure granting you extra attack bonuses for .. killing lots of things lots of times is a good way to reward something. It smells of time-sink and will surely avalanche the system. I don't want to encourage people to play something laborious and repetitive as an credible means of getting stronger, but rather reward them with recognition for reaching such a total whether intentionally or not.

Recognition cards.