Reply to OP:
Mass Relays? No.
Travel to the speed of mass relays. Sure.
Eezo? No.
Something akin to the effect of eezo? Maybe.
Aliens? Sure.
Most of the aliens we see? Nope.
Biotics? Sorta.
Omnitools? Yeah, actually!
AI? Sorta.
I see this all as a mixture of 'truth' of the future, 'visions' of the future, and outright 'dreams' of the future. Only a fraction of it is even likely to happen. However, the themes that Mass Effect touches on may be highly relevant in the next decades and centuries.
When it comes to technological progress, we won't match Mass Effect. ME's Earth had a dark period, then expanded to Mars, then found the archive, then found the Charon Relay, then propelled their tech in the ways of the Citadel.
We probably won't be like that. Some things will advance first on Earth (like AI itself), while other things will take much, much longer (anything Reaper Scale). We don't have a known-to-happen dark age nor a relay system to guide us out of it.
What I am fairly sure of is that technological progress will continue to surprise us in many ways. I do agree with Kurzweil's opinion that humans tend to regard external advancement (aka technology) in a linear fashion whereas it may actually grow much more incrementally or even exponentially, at least when less and less under human restrictions/boundaries. As we become more networked, not just the next century but the next decade or two may bring stunning tech, even if only a fraction of it becomes quickly adopted by the mainstream. I'm not quite on board with the Singularity concept though 