Do you really need anything more that what you have now?
If I was a new member, I wouldn't want anything more than being introduced to the team quickly, then jumping into work. I was hired to work on project(s) and support the goals of the team and organization, not to be your friend - I don't need long, drawn out or gimmicky "fun" or "vivid" introductions.
Consider the cost associated with this special "meeting". Adding special introduction events will take the entire team (and perhaps others, depending on who you invite) out of their work. When the team isn't working, they aren't contributing any effort to the completion of the project, yet you have to pay them for their time.
There are other alternatives:
Give the new hire a brief (~30 minute) tour of the office, led by the project manager or supervisor. Introduce them to not only the team, but also other people of interest. Perhaps the IT staff who support your team, the front desk/security staff, the administrative and support staff that works with your team, and so on. Make sure these people know ahead of time, so they can tell you if they will be busy or unavailable. Make it fairly quick, though - you don't want to keep them away from their work for too long (time is money).
The team could have lunch together, either in the office cafeteria or at a restaurant. I'm sure most people on the team take a lunch break, so why not make it a constructive, team-building activity? As long as it's kept professional, it would be a good experience to let everyone get to know each other.