1) Bask 2) Be bored 3) Be idle 4) Be in class and miss it 5) Be inattentive 6) Be less than vigilant 7) Cat nap 8) Catch 40 winks 9) Catch a catnap 10) Catch a few winks 11) Catch a wink 12) Catch forty winks 13) Catch some zzzzs 14) Catnap 15) Doze off 16) Drop off 17) Drop off a bit 18) Drop off for a while 1) Catnap 2) Drowse 3) Nap 4) Nod 5) Nod off 6) Sleep 7) Slumber 8) Snooze 
• (v. t.) To pass or spend in drowsiness; as, to doze away one`s time. • (v. i.) To slumber; to sleep lightly; to be in a dull or stupefied condition, as if half asleep; to be drowsy. • (n.) A light sleep; a drowse. • (v. t.) To make dull; to stupefy.
Doze noun A light sleep; a drowse. Tennyson. Doze transitive verb 1. To pass or spend in drowsiness; as, to doze away one's time. 2. To make dull; to stupefy. [ Obsolete] « I was an hour . . . in casting up about twenty sums, being dozed with much work.» Pepys. « They left for a long tim...Doze (dōz) intransitive verb [ imperfect & past participle Dozed (dōzd); present participle & verbal noun Dozing .] [ Prob. akin to daze , dizzy : confer Icelandic dūsa to doze, Danish döse
[n] - a light fitful sleep
drowse noun a light fitful sleep