Emirates(EK) has quite a lot of Fifth Freedom Flights.

I will show you Emirates'(EK) Fifth Freedom Flights, you can travel first class cheaply.

Today Asia route.
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DXB – CMB – SIN

EK348/349
CMB <-> SIN(1710 miles)
07APR – 14APR
C : JPY150,150 –
F : JPY376,350 –

DXB – BKK – HKG

EK384/385
BKK <-> HKG(1060 miles)
29MAR – 05APR
C : JPY37,860 –
F : JPY105,850 –
This is an absolutely great route!

First class is also cheap, you can experience EK first class using this flight.

Apparently between March and April is off-season in Thailand, so you can book it cheaper.

Also the price above is from BKK to HKG.

From HKG to BKK is :　
C : JPY51,470 –
F : JPY126,860 –

Still a cheap price.

DXB – RGN – PNH

EK388/389
RGN <-> RGN(691 miles)
27AUG – 05SEP
C : JPY95,340 –

DXB – MLE – CMB

EK652/653
MLE <-> CMB(482 miles)
29MAR – 05APR
C : JPY51,510 –
F : JPY232,570 –
Business class is cheaper too, but it’s only a 1 and a half hour flight.

Conclusion

I think you should keep checking the price if you want to take EK first class flight cheaper.

EK also has 5 daily flight from DXB to SIN(4 non-stop flights and 1 fifth freedom flights).