The old and the new combined to give the Clarets their second successive Championship home win as they continued their impressive start to the season.
Chris Iwelumo made it two goals in as many games at Turf Moor following his summer signing from Wolves as he clocked up a century of career goals.
Ross Wallace also laid claim to his first for the club with a deflected opener.
And Graham Alexander then added a further statistic to his remarkable record with a trademark second-half penalty.
The new Clarets' captain was making either the 900th or 902nd club start of his career, depending on whether your statistician of choice takes into account two games played against Aldershot Town which were expunged from the records following the Shots' resignation from the Football League.
But what wasn't in doubt was the fact that the 38-year-old again looked a class act as he cajoled Burnley towards an impressive victory he guaranteed when extending his 100 per cent strike-rate from the spot with just over a quarter of an hour to go.
Leicester had the chances early on to make it a more awkward afternoon for Brian Laws' rejuvenated side.
But when they didn't take them the Clarets raised their game to build on Wallace's fortuitous strike in first-half stoppage time.
And once Iwelumo had put the result beyond doubt, Burnley looked like a side capable of building something substantial from their unbeaten start.
Ross Wallace lets fly for the opener
The Clarets had the fit-again Tyrone Mears back on duty in place of the suspended David Edgar but their defence had been prised apart after only a minute.
Dany N'Guessan got away down the left and it took a fine save from Jensen, standing big and then throwing out a powerful left hand, to stop the Foxes making the dream start.
And a back four that had conceded only one goal in Burnley's first two games looked susceptible early on as N'Guessan almost sprung the off-side line again.
The nippy forward looked to have timed his run to perfection to meet D J Campbell's through-ball but the Clarets got the benefit of the assistant's flag.
That went some way to balancing up a big call after just five minutes when Burnley thought they had gone in front.
After ending their goal drought from corners a week previously lightning almost struck twice as Andre Bikey powered in a header from a Wallace delivery.
However, referee Grant Eltringham penalised Martin Paterson for contact with goalkeeper Chris Weale and chalked the effort off to the frustration of Bikey and his team-mates.
Chris Iwelumo is on target again
The Clarets continued to live dangerously at times at the back as a long ball over the top freed DJ Campbell for a shot which he lifted over the top under pressure from Bikey.
But the home side looked lively going forward with Paterson buzzing about and Iwelumo making his presence felt with some useful knock-downs on his most influential performance to date.
Wade Elliott latched onto one and tested Weale with a low drive while Paterson struck a long range effort just wide.
However, Weale wasn't to last much longer as a shoulder injury sustained as he punched clear from Bikey forced him out of the fray to be replaced by Conrad Logan.
And the luckless Logan's first piece of action was to pick the ball out of the net as the Clarets broke the deadlock.
Paterson and Wallace regularly switched flanks to give the Leicester defence something extra to think about and when Wallace cut in from the right he let fly with his trusted left foot.
His shot was aimed towards the bottom corner but a massive deflection off Moreno wrong-footed Logan and took the ball across goal and in off the far post.
It was a lucky break but crucially the Clarets capitalised on it early in the second half.
Laws' men successfully soaked up a short spell of pressure and then created the better chances, Iwelumo twice going close as he looked to get on the end of dangerous balls into the box from Paterson and Danny Fox.
And the big Scot then struck the crucial second goal with just over an hour gone.
Elliott and Wallace carved out the chance and when Wallace floated a lovely cross to the far post, Iwelumo joyously nodded down and in from close range.
The goal visibly raised the confidence levels even further in the Clarets' ranks and they produced their best football of the season to date as they moved the ball around sweetly against a seemingly beaten Leicester side.
Grezza does the business again
The introduction of Chris Eagles and Jack Cork provided further fresh legs and new impetus and with 16 minutes to go Eagles won the penalty that extended the Clarets' lead as he was up-ended in the box by Michael Lamey following a neat link-up with Elliott.
Alexander duly spotted the ball up and drove home his 18th successful penalty from as many attempts as Burnley wrapped up the win that cranked their fledgling campaign up a further gear.
Burnley: Jensen, Mears, Fox, Carlisle, Bikey, Alexander, Marney (Cork 66), Paterson, Elliott, Iwelumo (Thompson 76), Wallace (Eagles 66). Subs: McDonald, Cort, Rodriguez, Grant.
Leicester City: Weale (Logan 43), Neilson (Lamey 57), Hobbs, Moreno, Berner, Oakley (Moussa 80), King, N'Guessan, Wellens, Howard, Campbell. Subs: Morrison, Gallagher, Kennedy, Crncic.
Referee: Grant Eltringham
Booked: Marney 30, Wallace 41
Attedance: 15, 516