I am looking at a used A-Bolt.  It has the older, rotating bolt shroud.
Are there any real problems with the older A-Bolts compared with the new "anti-bind" bolt design or is it all a bunch of marketing hype???

The trigger pull is a little heavy for my tastes as well.  Are Browning triggers easily adjusted? (By a 'smith, not me)

Do you know how old the rifle is?  Are you looking at the rifle because of the price?  I have no personal experience with the A-bolt, so I can't tell you the other differences between it and my A-bolt II.  I believe they changed to the A-bolt II in 1993, you can check the particular rifle you are looking at from,  Date Your Gun -- How to read your A-Bolt/A-Bolt II bolt action rifle serial number.  ( http://www.browning.com/services/dategun/guns/abolt.htm ).
Like I said in the other post regarding Browning rifles, I really like mine.  About the trigger, I don't know of anything that would hold a good gunsmith back from adjusting it.  My A-bolt II has an incredible trigger, I could not believe how crisp it was, it has no creep at all, it just breaks.  I have not measured the trigger weight but it does not bother me and I really don't want to tough it.  If I can help you with any other questions about A-bolt's just post it or e-mail me.  Good luck.