What Kind of Juices are Permissible to Drink and What Kinds are Not

It was narrated that Abu Thabit Ath-Tha'labi said:

"I was with Ibn 'Abbas when a man came to him and asked him about juice. He said: 'Drink that which is fresh.' He said: 'I cooked a drink on the fire and I am not sure about it.' He said: 'Did you drink it before you cooked it?' He said: 'No.' He said: 'Fire does not make permissible something that is forbidden.'" (Sahih Mawquf)

أَخْبَرَنَا سُوَيْدٌ، قَالَ أَنْبَأَنَا عَبْدُ اللَّهِ، عَنْ أَبِي يَعْفُورٍ السَّلَمِيِّ، عَنْ أَبِي ثَابِتٍ الثَّعْلَبِيِّ، قَالَ كُنْتُ عِنْدَ ابْنِ عَبَّاسٍ فَجَاءَهُ رَجُلٌ فَسَأَلَهُ عَنِ الْعَصِيرِ، فَقَالَ اشْرَبْهُ مَا كَانَ طَرِيًّا ‏.‏ قَالَ إِنِّي طَبَخْتُ شَرَابًا وَفِي نَفْسِي مِنْهُ ‏.‏ قَالَ أَكُنْتَ شَارِبَهُ قَبْلَ أَنْ تَطْبُخَهُ قَالَ لاَ ‏.‏ قَالَ فَإِنَّ النَّارَ لاَ تُحِلُّ شَيْئًا قَدْ حَرُمَ ‏.‏

'Ata' said:

"I heard Ibn 'Abbas say: 'By Allah, fire does not make anything permissible or forbidden.'" He said: "Then he explained what he meant by 'it does not make permissible' as referring to what they said about At-Tila' (thickened grape juice), and he explained what he said about 'it does not make forbidden' as referring to performing Wudu' after eating something that has been touched by fire."

أَخْبَرَنَا سُوَيْدٌ، قَالَ أَنْبَأَنَا عَبْدُ اللَّهِ، عَنِ ابْنِ جُرَيْجٍ، قِرَاءَةً أَخْبَرَنِي عَطَاءٌ، قَالَ سَمِعْتُ ابْنَ عَبَّاسٍ، يَقُولُ وَاللَّهِ مَا تُحِلُّ النَّارُ شَيْئًا وَلاَ تُحَرِّمُهُ ‏.‏ قَالَ ثُمَّ فَسَّرَ لِي قَوْلَهُ لاَ تُحِلُّ شَيْئًا لِقَوْلِهِمْ فِي الطِّلاَءِ وَلاَ تُحَرِّمُهُ ‏.‏