Operating system: Linux-4.15.0-47-generic-x86_64-with-debian-buster-sid 64 Bits
Graphics card: GeForce GTX 1060 6GB/PCIe/SSE2 NVIDIA Corporation 4.5.0 NVIDIA 390.116
Broken: version: 2.80 (sub 55), branch: blender2.7, commit date: 2019-04-09 18:12, hash: rB009dbc2bc9fb
Short description of error
Image sequences now does display in 2.8 (thank you) but they're still quite broken.
Cyclic does not display in viewport/render. The sequence plays once then it just shows the last frame.
Start frame does not apply. The sequence start at frame 0 disregarding what Start says.
Offset does nothing.
For all these the right image frame and filename is displayed in the Texture tab where it all looks like it's working. But in viewport/render things are not as bright.
Exact steps for others to reproduce the error
Import an image sequence.
Fiddle with texture settings.
View no change in viewport.
[Based on the default startup or an attached .blend file (as simple as possible)]