The Reds looked on course for an impressive 2-1 win after Sturridge and Steven Gerrard and overturned Edin Dzeko's early opener, only for Sergio Aguero to capitalise on Jose Reina's error.
Strurridge put in a fine display and was named man of the match, but he was more concerned about his side's failure to hold on for the win.
Asked if he thought it was his best performance for Liverpool yet, the England international said: "I'd say so, although I've not been here very long.
"In the first few games I've lacked fitness, but I feel sharp now and I feel like I am playing and training more like myself.
"There is more to come from me, but I was pleased with the performance.
"It was end-to-end stuff, great for the neutral.
"We are gutted, though, to be fair, because I think we should have come out of the game with three points.
"We are disappointed, but I suppose it is a point against a team who are challenging for the title, so we will take that."
- Sports & Recreation
- Sergio Aguero
- Steven Gerrard
- Edin Dzeko