Synonyms for Overindulge:

n.

coddle, baby, spoil, cater, wait on someone hand and foot, pamper, roll out the red carpet for someone, cosset, indulge, fuss over, cherish, do well by someone, mollycoddle, treat well, overindulgence. epicurean, sybaritic, self-indulgence, fun-loving, weakness, indulgence, decadence, for fun, extravagance. overindulge (noun)
glut, binge, overeat, englut, stuff, ingurgitate, scarf out, gorge, gormandise, overgorge, engorge, satiate, gormandize, pig out, gourmandize.

v.

baby (verb)
cherish, indulge, mollycoddle, pamper, cosset, cater, coddle, spoil.
exceed (verb)
engulf, inundate, overdose, overkill, glut, deluge, exceed, overrun.
exceeded (verb)
engulf, inundate, overdose, overkill, glut, deluge, exceed, overrun.

Other synonyms:

self-indulgence, fun-loving, epicurean, cosset, decadence, sybaritic. mollycoddle, extravagance, cater. weakness, indulgence, coddle. indulge, baby. spoil. englut
englut.
overeat
gourmandize.
pamper
pamper, mollycoddle.
pig out
scarf out.
spoil
pamper.
Other relevant words:
epicurean, gormandise, cosset, weakness, extravagance, pig out, indulge, sybaritic, overeat, gorge, cater, binge, coddle, stuff, spoil, overindulgence, cherish, englut, scarf out, fun-loving, satiate, ingurgitate, pamper, mollycoddle, gourmandize, overgorge, indulgence, gormandize, engorge, decadence, baby, self-indulgence.