In C-SPAN, at least, I see Resume in the details screen menu, but it doesn't resume where I left-off; it starts from the beginning. I was told long ago that Resume wasn't supported on early Roku models, but I thought it is supposed to work with Roku 2 & 3.
Roku 3 (4200) purchased for $22.93 on clearance at Office Depot > Bleiden HDMI-to-Composite converter > old 4:3 CRT TV (now in another room, as I have acquired a modern LCD flat screen TV, March 2017)
R.I.P. Roku XD|S (2100), Feb 2011–Apr 2016