havnt you read the above replies 
ofcorse you can dp qaza of your prayers .. which planet are u living on .. cos shariah was givin to the inhabitants of earth…
Now back to the topic:
to the best of my knowledge. According to the Great Ghaus ul Azam. His View was that to pray your qaza is first you calculate roughly how much you mssed.. lets say you started praying from age of 24 but Namaz becam farz on you at the age of 12, so you make an intention to pray your FIRST evver fajar namaz. the Sunnah and Farz as i know and same with the rest and same again the next day you intend to pray your first ever fajar namaz ..and so on with the rest 4 namaaz. just the farz and with Isha you pray Witr also … as how i know it
this way you dunt loose track on which days you ve done … and as you keep reading your first namaz . the list will get shorter and shorter and if you do it vice versa it wud be difficult to work it out ..
now depends on how much u pray .. you can pray a qaza namaz with every namaz but that wud take u for ever lke the above ex it wud take 12 years but zindagi ka koi pata nahi k kab khatam ho jaaey .. so you may pray like 5 extra qaza with every farz namaz ..and if you work it out ..its alot quicker or if you got time you may read even more and keep a track of it …since most of the timeyou only read the farz.
and those prayers that you missed like in the past 24 hours or something ..firstly u and only u know .. if you are a Pakka / never missed a prayer . but just outa blue you missed a few for reason. so with that person the rule is k he / she prays the missed namaz in order . lets say he missed zuh asr and maghrib so for him ts vital that he prays them in the same order zuhr asr and maghrib .. and since they are qaza .. it is also vital that he prays em before he prays his Isha prayer ..and not after.
hope it helps ..ask if not sure of anyfin 