I here below furnish Guruparampara list.

I have provided the source from where this list is obtained .

A useful site,follow the Link.

1. periya perumAL (srIman nArAyaNan)
2. periya pirAtti (srI mahAlakshmi)
3. sEnai mudhaliAr
4. nammAzhwAr
5. nAthamunigaL
6. uyyakkoNdAr
7. maNakkAl nambi
8. ALavandhAr
9. periya nambi
10. emperumAnAr
11. embAr
12. bhattar
13. nanjIyar
14. nampiLLai
15. vadakku thiruvIdhi piLLai
16. piLLai lOkAchAryar
17. thiruvAimozhi piLLai
18. azhagiya maNavALa mAmunigaL

AzhwArs and several other AchAryas also are considered to be part of our srivaishnava guru paramparai.

The AzhwArs in order are:

1. poigai AzhwAr
2. bhUdhathAzhwAr(bhUdhaththAzhwAr)
3. pEyAzhwAr
4. thirumazhisai AzhwAr
5. madhurakavi AzhwAr
6. nammAzhwAr
7. kulasEkarAzhwAr
8. periyAzhwAr
9. ANdAL
10. thoNdaradippodi AzhwAr
11. thiruppANAzhwAr
12. thirumangai AzhwAr

The AchAryas (who are not in OrANvazhi guru paramparai) include (but not limited to):

1. selva nambi
2. kurugai kAvalappan
3. thirukkaNNamangai ANdAn
4. thiruvarangapperumAL arayar
5. thirukkOshtiyUr nambi
6. periya thirumalai nambi
7. thirumAlai ANdAn
8. thirukkachi nambi (thirukkachchi nambi)
9. mARanEri nambi
10. kUrathAzhwAn (kUraththAzhwAn)
11. mudhaliyANdAn
12. aruLALa perumAL emperumAnAr
13. kOil komANdUr iLayavilli AchAn
14. kidAmbi AchAn
15. vaduga nambi
16. vangi purathu nambi
17. sOmAsi ANdAn
18. piLLai uRangAvilli dhAsar
19. thirukkurugaippirAn piLLAn
20. kUra nArAyaNa jIyar
21. engaLAzhwAn
22. ananthAzhwAn
23. thiruvarangathu amudhanAr
24. nadAthUr ammAL
25. vEdha vyAsa bhattar
26. srutha prakAsikA bhattar (sudharsana sUri)
27. periyavAchAn piLLai (periyavAchchAn piLLai)
28. eeyuNNi mAdhava perumAL (this includes the history of nampiLLai’s eedu mahA vyAkyAnam)
29. eeyuNNi padhmanAbha perumAL
30. nAlUr piLLai
31. nAlUrAchAn piLLai (nAlUrAchchAn piLLai)
32. naduvil thiruvIdhi piLLai bhattar
33. pinbhazhagiya perumAL jIyar
34. azhagiya maNavALa perumAL nAyanAr
35. nAyanArAchAn piLLai
36. vAdhi kEsari azhagiya maNavALa jIyar
37. kUra kulOthama dhAsar
38. viLAnchOlai piLLai
39. vEdhAnthAchAryar
40. thirunArAyaNapurathu Ay jananyAchAryar

Source.

https://www.google.co.in/amp/s/guruparamparai.wordpress.com/2012/08/17/introduction-contd/amp/