In a 3 player game, during buy phase:
- I buyed a Toil
- Choosed to play the Bazar from hand, which should got me 2 actions (I had more action cards to play).
- But it switched immediately to next player.
Note: There were no cards limiting the actions (like Snowy Village).
When you buy Toil, you are in your buy phase. You cannot generally play Action cards in your buy phase, you can only with Toil because it explicitely says so. So you getting more Actions in your buy phase via Bazaar doesn't help you. Your Action phase is over. If you have no more buys, the game will continue to the next player, as you witnessed.
If you could play Actions during your buy phase, Minion for example would be much stronger than it already is. You'd play all but one Minion for coins, then all your Treasures, then play your last Minions for "+1 Action, discard hand, +4 cards" and repeat. That's actually only possible with Capitalism, which makes Minion a Treasure and thus allows it to played during the Action phase.