The Potters continued their encouraging start to the new Barclays Premier League campaign as they had the better of a goalless draw with Manchester City at the Britannia Stadium.
Midfielder Adam was outstanding as Stoke, developing into a more fluid side under new boss Mark Hughes, took the game to a City team showing six changes and created the best chances.
Hughes is keen to change the perception of Stoke as a physical, direct side and Adam appears central to his plans.
That contrasts with last season when, as the team were dragged into a relegation fight, it seemed the Scotland international was not trusted by Tony Pulis.
Adam said: "When you are playing it is different. It is easier when you are enjoying it and the team is playing well.
"That is the important thing. Hopefully we can continue that and finish as high as we can, do ourselves proud and better what we did last year.
"We are playing well, we are enjoying it. We are trying to play as well as we can and get results and we are doing that so far this year.
"It has been a tough start but we have got points on the board and we are happy."
Stoke were narrowly edged out by Liverpool in their opening game but Stoke responded with good wins over Crystal Palace and West Ham.
After coming through the testing visit of City unscathed, their tough run continues with a trip to Arsenal next weekend.
Adam, 27, said: "This is another step in the right direction after two good wins before the international break.
"It is a good way to come back, to get a good point against a very good side. Now we go again, to the Emirates next week. Hopefully we can improve again."
Adam twice tested Joe Hart with powerful shots as well as creating two great chances with superb crosses.
In the second half Kenwyne Jones rose above Matija Nastasic to meet his delivery with a firm header that flew narrowly over the bar.
But the most glaring miss came before the break when an unmarked Jonathan Walters glanced his header wide from in front of goal.
Adam said: "He probably didn't get enough on it. You are in the team to create chances and that was unlucky, but overall the team performed well.
"I thought we had the best chances in the game and if we had the bit of a cutting edge, we could have won.
"But we are happy with the point. We take the positives out of it."
Stoke's other notable chance came when substitute Marko Arnautovic, on debut, almost forced Nastasic to score an own goal with a wicked ball from the left.
Hart spared his defender's blushes with a fine reaction save.
Adam said: "They maybe had an eye on the Champions League next week but I thought we were excellent and we'll look forward to another test at the Emirates next week."