4 players.
Paladin
Light Cleric
Wizard
Lore Bard
6 players
Paladin
Light Cleric
Wizard
Lore Bard
Fighter
Rogue
8
Paladin
Light Cleric
Wizard
Lore Bard
Fighter
Rogue
Tempest Cleric
Life Cleric
It's interesting that you put the bard over the rogue. That's because in 5e it's actually easy for other characters to disarm traps, am I correct? The two extra clerics would really make healing plentiful. The bard gets healing spells, too.
I'd probably try the following right now:
Four Players
1 fighter
1 ranger
1 cleric
1 wizard
Six Players
1 fighter
1 ranger
1 cleric
1 wizard
1 bard
1 monk
8 Players
1 fighter, champion or battle master
1 ranger
1 cleric
1 wizard
1 bard
1 monk
1 fighter, eldritch knight
1 barbarian
I start with the fighter who will lead the party into battle. Then you have the ranger who can back him up at the front line, but who also is a ranged specialist who can weaken the enemy before they get into melee. The cleric is the party's defender and life-line. He will come to the aid of anyone caught off-guard, and back-up the other characters. The wizard is the party's tactician, who sizes up the battle and decides when to use a spell to influence the outcome.
The next character I'd add is the bard, who can be a diplomat and help the party's morale and also back-up the cleric and wizard in healing, reinforcement, and tactics.
The monk is who you have to go it alone for a time, when the situation calls for it. They have a good balance of offensive and defensive abilities, and the intuition to know when it's time to return. When among the rest of the party, this character would most actively stand with the fighter.
The next character I'd pick is the eldritch knight, with a nod to the elf fighter/ mage. The character can supply extra offensive magic, and do well in melee if an enemy gets into the party's midst, defending the wizard if needs be.
Then I'd say the barbarian, because heavy extra damage in melee is very often just what the party needs. The barbarian's resilience and primal knowledge are also great additions to the standard party.