Not all the pairs here are easy to distinguish. Luckily, the context will normally give us enough clues to decide which phrase we are hearing.

 

all that I'm after today

[ɔːl ðət̚ aɪm ˈɑːftə təˈdeɪ]

 

all the time after today

[ɔːl ðə tʰaɪm ˈɑːftə təˈdeɪ]

 

he lies - heal eyes

[hi laɪz̊] - [hiːɬ aɪz̊]

 

 

keep sticking - keeps ticking

[kiːp ˈstɪkɪŋ̊] [kiːps ˈtʰɪkɪŋ̊]