Indeed there are! Beige, cleidoic, codeine, conscience, deify, deity, deign,
dreidel, eider, eight, either, feign, feint, feisty,
foreign, forfeit, freight, gleization, gneiss, greige,
greisen, heifer, heigh-ho, height, heinous, heir, heist,
leitmotiv, neigh, neighbor, neither, peignoir, prescient,
rein, science, seiche, seidel, seine, seismic, seize, sheik,
society, sovereign, surfeit, teiid, veil, vein, weight,
weir
to name a few.
I think the 'rule' is tied up with digraphs or something.