Favorite thing Boston is a small city and many areas and attractions are near each other so that the best way to tour around boston is a combined walking and bus trolley tour wherein you get 2 day pass tickets (about $ 44.95) on the various trolley bus tour companies and trolley stops which sells them and then go on walking around the different attractions as many trolley bus stops are near each other like in Beacon Hill and Boston Garden, Faneuil Hall and Long Wharf, etc. So you can see most of the attractions in 2 days with the combined walking and bus trolley idea.
Fondest memory walking around boston and using the bus trolley as transport is a good combination and budget and it saves time.
Favorite thing Store 24 is a chain of convenience stores located all over Boston and through out Massachusettes. I had the "honor" of having worked for one to help put myself through college. There really isn't anything special about these stores other than they are open 24 hours a day. Don't go in and ask for change, they'll make you buy something even if it's only a nickel gum.
Fondest memory I don't know if I would call it a fond memory, but while I was working at Store 24, Juno, my boss and I had the terrible luck of having a patron get stabbed by her boyfriend in front of the store. He scared off the attacker while I called 911. It was terribly scarey and gave us nightmares for a long, long time.
Favorite thing Check out this fun web page to learn "How to Enjoy Boston on a Shoestring Budget".
Great suggestions here, even if you have a slightly higher budget to work with than a shoestring, LOL!
Fondest memory Learning that I don't need to fear the "T"! It's cheaper and faster to get into Boston from the airport (or Winthrop) on the "T" than it is sitting and manuvering in the traffic going thru the Sumner Tunnel. The toll is now $3.00, by the way and the "T" (subway train) is only $1.25 each way! Altho, it's even cheaper if you purchase a PASS.
Favorite thing Visit a SEAFOOD restaurant. There are many locations, specialties & prices. Use public transportation; if possible. There's a BIG DIG project going on and driving is a nightmare!
Fondest memory When I was very young I won a pair of tickets to see my very FIRST RED SOX GAME from a radio station in Boston. Their kit also contained American flags, patriotic pom-poms, noisemakers & a bit of spending money. It was right around the 4th of July & I LOVED IT!