I consider myself a WWII buff as well. I think Band of Brothers was more of a historical fact-type of film series. It talked about the relationships of the 101st airborne members in relation to the historical events they were involved in. It is one of my all-time favorites to watch.
IMO The Pacific focuses more on the human and psychological impact of fighting an enemy in absolute hell-holes. The rain on some of those islands would have driven me crazy, let along the bonzai attacks. The Japanese just threw bodies at our troops. Guadalcanal, Iwo, Okinawa, all of the islands we fought on were won yard-by-yard in horrendous physical conditions.
I didn't think anything could compare to the intensity of the December 1944 time frame in the Ardennes during the Battle of the Bulge. (The Russians suffered terribly at Stalingrad as well). Iwo and Okinawa were battles of attrition. Thousands of US deaths but multiples more Japanese died, fighting until the bitter end (sometimes needlessly dying when they could have surrendered, were they allowed to).
All in all, the sacrifices our soldiers made in WWII are incomprehensible to me. I think that is why I am so intrigued by it and watch and read as much as I can on the subject.