Several hikes throughout western-NH that aren't 4000' tall, but are easy to moderately challenging (2-6mi, 800-2000' gained).
N. Pack Monadnock
Welch & Dickey
Morgan & Percival
Mt Pemigewasset
Stinson Mountain
Bridal Veil Falls
Lovewell Mountain
Bald Peak (Kinsman)
Cardigan via Clark and Manning Trails
Sunapee via Andrew Brook Tr
Kearsarge via Winslow Tr
N Uncanoonuc
Mt Shaw
Cardigan via No Sweeter Needed

Firescrew Mtn Trail
Back 80 Cellar Hole
No Sweater Needed