Under steady acceleration, engine light goes on

2012 really ? what country? we have no 626 year USA that year
or do you mean the Mazda 6"? 2.5 or 3.7L engine?
cut out means what, be more exact in what that means
ALL DC power and lamps and engine and radio die , on the fly.?
or just engine, all lamps good.
lost power means engine power or DC power or both.
engine stalls. are complex over 50 causes in engine or EFI.and more.
can the stall (stall means engine goes to 0rpm) but can you prevent the stall with a fast right foot?????
does the engine restart easy, at stall? or not.
is the starter motor always working(cranking), after the stall?
stalls may only happen on hot or cold engine or both.
bad spark is #1 cause of stalls. (and lots more ) try new spark plugs.>?
EGR stuck open
IAC stuck closed(idle valve gunked up)
battery died, or alternator dead or intermittent.(or going off line for battery gross shorts or opens)

mazda 6
Mazda since 2002, replacing the long-produced Capella/626.
and
The 626 replaced the 616/618 and RX-2 in 1979 and was sold through 2002, when the new Mazda6 took over as Mazda's large family car. 4,345,279 of the 626 and Ford Telstar models were sold worldwide.

post real car model names and real engine size first and even country the car was delivered to first or the VIN that tells me all that.

you should have your idle air solenoid checked it may be clogged up on you I would check this .it controls the idle he engine idle also .hope this helps AND ALSO WOULDNT HURT TO HAVE YOUR THROTTLE POSITION SENSOR CHECKED AS WELL...............................................................................

This is a social web site,so keep looking

Someone may have what you need,but
free is hard to find

The problem is more then likely a bad connection on your spark plug fireing electronics. It is temp. Related also make sure ALL your fuse's are the correct size in their correct slot. Plan B solution start with your cheapest sencers first replaceing them

The ignition coil is located in the Distributor. It not a separate piece.

Your problem could be a lot of things ,,without hearing the noise we have to gess your problems like
1Chech the engine for turning over if not then its the starter bendix slipping and if it is turning over as usual then its could be the starter ring on the flywheel and if so turn key off and turn engine over by hand about 1/2 way around on bottom pully and try starting again and if it starts then its the starter ring.
Engine or Gearbox out job.
Let me know how you get on . Ron

02 sensor or a list of other things. Have a tech hook it up to a testing unit and see what code it gives off.

oil pump sounds like it maybe scavenging for oil ,check oil level, oilpressure----how long since filter was changed? youdoit

check the belt timing. could be firing early or late.

if u go on yahoo.com type 1995 mazda 626 timing and click on search images you will see a picture of how to set it.