Tevez turned in Nedum Onuoha's header then, after Cameron Jerome's nodded reply, Adebayor finished a neat move.
Nicolas Bendtner powered in a header and Cameron Jerome scored late on before Doyle's save sealed the points.
Striker Cameron Jerome's 50th minute goal sealed the three points with Birmingham on their best run in over a century.
Bowyer ran on to Cameron Jerome's cushioned header to fire the only goal past keeper Petr Cech after 17 minutes.
The England World Cup hopeful produced a brilliant low save to deny Cameron Jerome in what was the only clear chance of the first half.
Wigan's Hugo Rodallega and City's Roger Johnson were booked after a flare-up before Johnson and Cameron Jerome came close to giving the hosts the lead.
On the stroke of half-time, Mikael Forssell made it two when he prodded in a corner from close range after Cameron Jerome had flicked on.
Birmingham went close to taking the lead when a McFadden cross was deflected on to Cameron Jerome's chest and into the arms of a grateful Schwarzer.
Reina pulled off superb reaction saves to keep out firm headers from Cameron Jerome and Craig Gardner as the Reds struggled to cope with the home side.
Derbyshire turned provider moments later, breaking free inside the box and squaring to his strike partner Cameron Jerome, who miskicked horribly with the goal at his mercy.
Birmingham rallied well and on the hour Cameron Jerome ran clear to pull a goal back, but late on Fraizer Campbell's sliding finish sealed the home victory.
Aaron Ramsey has left for Arsenal, Cameron Jerome to Birmingham, Chris Gunter to Tottenham, Michael Chopra to Sunderland - before his return last season - and Glenn Loovens to Celtic.
Cameron Jerome twice came close to pulling one back for Birmingham but first he saw an effort hit the bar and then a back heel cleared off the line by Keogh.
Birmingham manager Alex McLeish conceded the style of victory was not one for the purists but was pleased that a second-half tactical switch to replace striker Cameron Jerome with midfielder Sebastian Larsson paid off.
Toffees centre-back Sylvain Distin could only loop a clearing header back towards his own goal to let in Cameron Jerome but the Blues striker controlled on his thigh only to half-volley wide from just inside the area.
After Craig Gardner dragged a free-kick wide and Cameron Jerome's header was cleared off the line by Sears, the Blues got the goal their improvement warranted as Ridgewell beat Winston Reid to a corner and thumped in a header to send the travelling fans wild.
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