I could be wrong, but I am pretty sure the cards that show up more often/at the top of every list are the ones that are being paid to be there.
Pretty sure I even remember reading some small print on their website stating so.
I would imagine if this is the case then they could easily raise your chances from a 'most likely a denial' to a 'good' chance if they are going to get more $$$ out of it.
After all, if they state in the fineprint that even a 'great chance' could result in a denial, they have themselves covered.
Back to the original question, as others have already stated, I would wait until your scores are hovering around the 700 mark before applying.
Chase also likes to see that you have a card with at least a $5k limit and also decent income as this card is intended for people who travel and spend a fair amount yearly.
As for other products, it depends on your spend, if you travel; and who you would travel with.
Without knowing too much about your spending habits I would recommend the Citi DC or the Venture card as these cards both offer good rewards for general spending.
If you update us with your spending habits we might be able to give you better suited recommendations.
