Turkish Stitch Scarf
Back when the yarn shop was open, there were a couple of simple scarves that people raved about. Here is one such scarf pattern, using a sport-weight yarn:
Cast On 24 sts (or an even number) with a US 5 needle.
Knit one row.
K1, *yo, k2tog; repeat from * across until the last stitch; k1.
Repeat this row until your scarf is as long as you like.
Last row: knit across. Bind off loosely.
Add some fringe if you like, and you have a soft, drapey scarf. Leave it unblocked for a more solid scarf, or pin it out and block it for a more open, lacy look.