From Saxmundham, you can set off in any direction to explore rural Suffolk, the Suffolk Heritage Coast and even the delights of the Norfolk Broads. Trains run to and from London and you can use connections at Ipswich and Lowestoft to explore the whole of East Anglia by train.
More locally there are places lots of interesting places to visit and the sea is just 5 miles away or, if you prefer, an indoor pool and leisure centre at Leiston, just 4 miles away.
Also:-
The delightful seaside towns of Aldeburgh and Southwold
Dunwich heath and forest
English Heritage castles at Orford and Framlingham
The RSPB bird reserve at Minsmere
Snape Maltings and concert hall
The Out of Africa Zoos at Diss and Kessingland
Pleasurewood Hills Theme Park at Lowestoft
Seaside town of Walberswick
Banham Zoo